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Journal articles on the topic 'Noncommutative quantum field theory, gauge theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

SZABO, RICHARD J. "DISCRETE NONCOMMUTATIVE GAUGE THEORY." Modern Physics Letters A 16, no. 04n06 (2001): 367–86. http://dx.doi.org/10.1142/s0217732301003474.

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A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang–Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as uv/ir mixing and the appearance of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite-dimensional representations of the quotient conditions for toroidal compactification of matrix

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2

KRAJEWSKI, THOMAS, and RAIMAR WULKENHAAR. "PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS." International Journal of Modern Physics A 15, no. 07 (2000): 1011–29. http://dx.doi.org/10.1142/s0217751x00000495.

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Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.

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3

Yazdani, Aref. "Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry." Advances in High Energy Physics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/349659.

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We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism invariant field theory can be made equivalent to a teleparallel formulation of gravity. Field equations are derived in the framework of teleparallel gravity through Weitzenbock geometry. We solve these field equations by considering a mass that is distributed spherically symmetrically in a stationary static spacetime in order to obtain a noncommutat

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4

Bochicchio, Marco. "Yang–Mills mass gap at large-N, noncommutative YM theory, topological quantum field theory and hyperfiniteness." International Journal of Modern Physics D 24, no. 06 (2015): 1530017. http://dx.doi.org/10.1142/s0218271815300177.

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We review a number of old and new concepts in quantum gauge theories, some of which are well-established but not widely appreciated, some are most recent, that may have analogs in gauge formulations of quantum gravity, loop quantum gravity, and their topological versions, and may be of general interest. Such concepts involve noncommutative gauge theories and their relation to the large-N limit, loop equations and the change to the anti-selfdual (ASD) variables also known as Nicolai map, topological field theory (TFT) and its relation to localization and Morse–Smale–Floer homology, with an emph

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5

Wang, Weijian, та Jia-Hui Huang. "The one-loop θ2 corrections of gauge boson propagator in the noncommutative scalar U(1) theory". Modern Physics Letters A 29, № 34 (2014): 1450172. http://dx.doi.org/10.1142/s0217732314501727.

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In this paper, the quantum corrections of gauge field propagator are investigated in the noncommutative (NC) scalar U(1) gauge theory with Seiberg–Witten map (SWM) method. We focus on the simplest case where the gauge boson couples with a massless complex scalar field. The one-loop divergent corrections at θ2-order are calculated using the background field method. It is found that the divergences can be absorbed by making field redefinitions, leading to a good renormalizability at θ2-order.

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6

Ćirić, Marija Dimitrijević, та Nikola Konjik. "Landau levels from noncommutative U(1)⋆ gauge theory in κ-Minkowski space-time". International Journal of Geometric Methods in Modern Physics 15, № 08 (2018): 1850141. http://dx.doi.org/10.1142/s0219887818501414.

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Motivated by physics of the Lowest Landau Level and the Quantum Hall Effect, we investigate motion of an electron in a constant background magnetic field in the [Formula: see text]-Minkowski space-time. Starting from an action invariant under the noncommutative [Formula: see text] gauge transformations, we obtain the [Formula: see text]-deformed Dirac equation. Using the perturbative approach, we calculate noncommutative corrections to energy levels, mass and the gyromagnetic ratio up to the first order in the deformation parameter [Formula: see text].

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7

Kersting, Nick, та Yong-Liang Ma. "Can a Nonsymmetric Metric mimic NCQFT in e+e- → γγ?" Modern Physics Letters A 22, № 07n10 (2007): 699–709. http://dx.doi.org/10.1142/s0217732307023298.

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In the nonsymmetric gravitational theory (NGT) the space-time metric gμν departs from the flat-space Minkowski form ημν such that it is no longer symmetric, i.e.gμν ≠ gνμ. We find that in the most conservative such scenario coupled to quantum field theory, which we call Minimally Nonsymmetric Quantum Field Theory (MNQFT), there are experimentally measurable consequences similar to those from noncommutative quantum field theory (NCQFT). This can be expected from the Seiberg-Witten map which has recently been interpreted as equating gauge theories on noncommutative spacetimes with those in a fie

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8

Bufalo, R., and M. Ghasemkhani. "Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes." International Journal of Modern Physics A 32, no. 04 (2017): 1750019. http://dx.doi.org/10.1142/s0217751x17500191.

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In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern–Simons polarization tensor. In order to properly define the behavior of the quantum fields, the known UV/IR mixing due to radiative corrections is analyzed in the one-loop physical dispersion relation of the scalar and gaug

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9

Varshovi, Amir Abbass. "⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills." International Journal of Geometric Methods in Modern Physics 18, no. 06 (2021): 2150089. http://dx.doi.org/10.1142/s0219887821500894.

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A representation of general translation-invariant star products ⋆ in the algebra of [Formula: see text] is introduced which results in the Moyal–Weyl–Wigner quantization. It provides a matrix model for general translation-invariant noncommutative quantum field theories in terms of the noncommutative calculus on differential graded algebras. Upon this machinery a cohomology theory, the so-called ⋆-cohomology, with groups [Formula: see text], [Formula: see text], is worked out which provides a cohomological framework to formulate general translation-invariant noncommutative quantum field theorie

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10

Morita, K. "A New Gauge-Invariant Regularization Scheme Based on Lorentz-Invariant Noncommutative Quantum Field Theory." Progress of Theoretical Physics 111, no. 6 (2004): 881–905. http://dx.doi.org/10.1143/ptp.111.881.

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11

Abreu, Everton M. C., and Mario Junior Neves. "Strong interaction model in DFR noncommutative space–time." International Journal of Modern Physics A 32, no. 17 (2017): 1750099. http://dx.doi.org/10.1142/s0217751x17500993.

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The Doplicher–Fredenhagen–Roberts (DFR) framework for noncommutative (NC) space–times is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, i.e. [Formula: see text], is promoted to a coordinate of a new extended space–time. Consequently, we have field theory in a space–time with spatial extra-dimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extra-dimension. In this paper, we introduce the gauge invariance in the

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12

GODINHO, CRESUS F. L. "CONSTRAINTS ON NONCOMMUTATIVE HALL EFFECT REVISITED." International Journal of Modern Physics A 23, no. 26 (2008): 4361–70. http://dx.doi.org/10.1142/s0217751x08040470.

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We consider a semiclassical formulation of the quantum Hall effect by means of an Chern–Simons gauge theory constructed for a Schrödinger field. We build up constraints managing the Faddeev–Jackiw algorithm and show a direct relation of the constraints with Hall conductivity. In the second step, we consider the noncommutative extension to the action computing the new and more general constraints and, as a right consequence, an interesting correction for the conductivity expression is found. Finally, we speculate possible interpretations of this new result and its consequences.

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13

Dimitrijević-Ćirić, Marija, Dragoljub Gočanin, Nikola Konjik, and Voja Radovanović. "Yang–Mills theory in the SO(2,3)⋆ model of noncommutative gravity." International Journal of Modern Physics A 33, no. 34 (2018): 1845005. http://dx.doi.org/10.1142/s0217751x18450057.

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According to the standard cosmological model, thermodynamic conditions of the early Universe were such that nuclear matter existed in the state of quark–gluon plasma, rather than hadrons. On the other hand, it is generally believed that quantum gravity effects become ever more stronger as we approach the Big Bang, in particular, we expect that the phenomenon of space–time noncommutativity will be significant. Thus we are led to consider the properties of quarks and gluons in noncommutative space–time. For this, we employ the [Formula: see text] model of noncommutative gravity. As a first step

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14

LUGO, ADRIÁN R. "A NOTE ON NONCOMMUTATIVE CHERN–SIMONS MODEL ON MANIFOLDS WITH BOUNDARY." Modern Physics Letters A 17, no. 03 (2002): 141–55. http://dx.doi.org/10.1142/s0217732302006047.

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We study field theories defined in regions of the spatial noncommutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern–Simons theory on the upper half-plane. We find that classical consistency and gauge invariance lead necessary to the introduction of K0-space of square integrable functions null together with all their derivatives at the origin. Furthermore the requirement of closure of K0 under the *-product leads to the introduction of a novel notion of the *-product itself in regions where a boundary is present, that in turn yields the

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15

Yang, Hyun Seok. "Quantization of emergent gravity." International Journal of Modern Physics A 30, no. 04n05 (2015): 1550016. http://dx.doi.org/10.1142/s0217751x15500165.

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Emergent gravity is based on a novel form of the equivalence principle known as the Darboux theorem or the Moser lemma in symplectic geometry stating that the electromagnetic force can always be eliminated by a local coordinate transformation as far as space–time admits a symplectic structure, in other words, a microscopic space–time becomes noncommutative (NC). If gravity emerges from U(1) gauge theory on NC space–time, this picture of emergent gravity suggests a completely new quantization scheme where quantum gravity is defined by quantizing space–time itself, leading to a dynamical NC spac

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16

Grosse, H., and R. Wulkenhaar. "Noncommutative quantum field theory." Fortschritte der Physik 62, no. 9-10 (2014): 797–811. http://dx.doi.org/10.1002/prop.201400020.

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17

Grosse, Harald, and Raimar Wulkenhaar. "Renormalizable noncommutative quantum field theory." Journal of Physics: Conference Series 343 (February 8, 2012): 012043. http://dx.doi.org/10.1088/1742-6596/343/1/012043.

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18

Grosse, Harald, and Raimar Wulkenhaar. "Renormalizable noncommutative quantum field theory." General Relativity and Gravitation 43, no. 9 (2010): 2491–98. http://dx.doi.org/10.1007/s10714-010-1065-6.

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19

ABE, YASUMI. "NONCOMMUTATIVE QUANTIZATION FOR NONCOMMUTATIVE FIELD THEORY." International Journal of Modern Physics A 22, no. 06 (2007): 1181–200. http://dx.doi.org/10.1142/s0217751x07035239.

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We present a new procedure for quantizing field theory models on a noncommutative space–time. Our new quantization scheme depends on the noncommutative parameter explicitly and reduces to the canonical quantization in the commutative limit. It is shown that a quantum field theory constructed by this quantization yields exactly the same correlation functions as those of the commutative field theory, that is, the noncommutative effects disappear completely after the quantization. This implies, for instance, that the noncommutativity may be incorporated in the process of quantization, rather than

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20

OECKL, ROBERT. "INTRODUCTION TO BRAIDED QUANTUM FIELD THEORY." International Journal of Modern Physics B 14, no. 22n23 (2000): 2461–66. http://dx.doi.org/10.1142/s0217979200001989.

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Indications from various areas of physics point to the possibility that space-time at small scales might not have the structure of a manifold. Noncommutative geometry provides an attractive framework for a perhaps more accurate description of nature. It encompasses the generalisation of spaces to noncommutative spaces and of symmetry groups to quantum groups. This motivates efforts to extend quantum field theory to noncommutative spaces and quantum group symmetries. One also expects that divergences of conventional theories might be regularised in this way.

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21

Szabo, R. "Quantum field theory on noncommutative spaces." Physics Reports 378, no. 4 (2003): 207–99. http://dx.doi.org/10.1016/s0370-1573(03)00059-0.

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22

Hellerman, Simeon, and Mark Van Raamsdonk. "Quantum Hall physics = noncommutative field theory." Journal of High Energy Physics 2001, no. 10 (2001): 039. http://dx.doi.org/10.1088/1126-6708/2001/10/039.

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23

Anagnostopoulos, Konstantinos, Paolo Aschieri, Martin Bojowald, Harald Grosse, Larisa Jonke, and George Zoupanos. "Noncommutative quantum field theory and gravity." General Relativity and Gravitation 43, no. 9 (2011): 2331–33. http://dx.doi.org/10.1007/s10714-011-1203-9.

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24

DIMITRIJEVIĆ, MARIJA, and LARISA JONKE. "TWISTED SYMMETRY AND NONCOMMUTATIVE FIELD THEORY." International Journal of Modern Physics: Conference Series 13 (January 2012): 54–65. http://dx.doi.org/10.1142/s2010194512006733.

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Although the meaning of twisted symmetry is still not fully understood, the twist approach has its advantages in the construction of field theories on noncommutative spaces. We discuss these advantages on the example of κ-Minkowski space-time. We construct the noncommutative U(1) gauge field theory. Especially the action is written as an integral of a maximal form, thus solving the cyclicity problem of the integral in κ-Minkowski. Using the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom the effective action with the first order corrections in the deformation par

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25

ZET, G. "U(2) GAUGE THEORY ON NONCOMMUTATIVE GEOMETRY." International Journal of Modern Physics A 24, no. 15 (2009): 2889–97. http://dx.doi.org/10.1142/s0217751x09046230.

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We develop a model of gauge theory with U (2) as local symmetry group over a noncommutative space-time. The integral of the action is written considering a gauge field coupled with a Higgs multiplet. The gauge fields are calculated up to the second order in the noncommutativity parameter using the equations of motion and Seiberg-Witten map. The solutions are determined order by order supposing that in zeroth-order they have a general relativistic analog form. The Wu-Yang ansatz for the gauge fields is used to solve the field equations. Some comments on the quantization of the electrical and ma

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26

FAIZAL, MIR. "NONCOMMUTATIVE QUANTUM GRAVITY." Modern Physics Letters A 28, no. 10 (2013): 1350034. http://dx.doi.org/10.1142/s021773231350034x.

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We discuss the BRST and anti-BRST symmetries for perturbative quantum gravity in noncommutative spacetime. In this noncommutative perturbative quantum gravity the sum of the classical Lagrangian density with a gauge fixing term and a ghost term is shown to be invariant to the noncommutative BRST and the noncommutative anti-BRST transformations. We analyze the gauge fixing term and the ghost term in both linear as well as nonlinear gauges. We also discuss the unitarity evolution of the theory and analyze the violation of unitarity by introduction of a bare mass term in the noncommutative BRST a

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27

Antipin, K. V., M. N. Mnatsakanova, and Yu S. Vernov. "Haag's Theorem in Noncommutative Quantum Field Theory." Ядерная физика 76, no. 08 (2013): 1022–25. http://dx.doi.org/10.7868/s0044002713080023.

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28

Moffat, J. W. "Noncommutative and non-anticommutative quantum field theory." Physics Letters B 506, no. 1-2 (2001): 193–99. http://dx.doi.org/10.1016/s0370-2693(01)00409-9.

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29

Antipin, K. V., M. N. Mnatsakanova, and Yu S. Vernov. "Haag’s theorem in noncommutative quantum field theory." Physics of Atomic Nuclei 76, no. 8 (2013): 965–68. http://dx.doi.org/10.1134/s1063778813080024.

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30

Bahns, Dorothea. "Schwinger Functions in Noncommutative Quantum Field Theory." Annales Henri Poincaré 11, no. 7 (2010): 1273–83. http://dx.doi.org/10.1007/s00023-010-0061-4.

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31

Grosse, H., C. Klimčík, and P. Prešnajder. "Finite quantum field theory in noncommutative geometry." International Journal of Theoretical Physics 35, no. 2 (1996): 231–44. http://dx.doi.org/10.1007/bf02083810.

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32

UPADHYAY, SUDHAKER, and BHABANI PRASAD MANDAL. "NONCOMMUTATIVE GAUGE THEORIES: MODEL FOR HODGE THEORY." International Journal of Modern Physics A 28, no. 25 (2013): 1350122. http://dx.doi.org/10.1142/s0217751x13501224.

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The nilpotent Becchi–Rouet–Stora–Tyutin (BRST), anti-BRST, dual-BRST and anti-dual-BRST symmetry transformations are constructed in the context of noncommutative (NC) 1-form as well as 2-form gauge theories. The corresponding Noether's charges for these symmetries on the Moyal plane are shown to satisfy the same algebra, as by the de Rham cohomological operators of differential geometry. The Hodge decomposition theorem on compact manifold is also studied. We show that noncommutative gauge theories are field theoretic models for Hodge theory.

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33

YANG, HYUN SEOK. "ON THE CORRESPONDENCE BETWEEN NONCOMMUTATIVE FIELD THEORY AND GRAVITY." Modern Physics Letters A 22, no. 16 (2007): 1119–32. http://dx.doi.org/10.1142/s0217732307023675.

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In this brief review, we summarize the new development on the correspondence between noncommutative (NC) field theory and gravity, shortly referred to as the NCFT/Gravity correspondence. We elucidate why a gauge theory in NC spacetime should be a theory of gravity. A basic reason for the NCFT/Gravity correspondence is that the Λ-symmetry (or B-field transformations) in NC spacetime can be considered as a par with diffeomorphisms, which results from the Darboux theorem. This fact leads to a striking picture about gravity: Gravity can emerge from a gauge theory in NC spacetime. Gravity is then a

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34

Botta Cantcheff, M., and P. Minces. "Duality in noncommutative topologically massive gauge field theory revisited." European Physical Journal C 34, no. 3 (2004): 393–98. http://dx.doi.org/10.1140/epjc/s2004-01728-2.

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35

PAL, SHESANSU SEKHAR. "A NOTE ON NONCOMMUTATIVE STRING THEORY AND ITS LOW ENERGY LIMIT." International Journal of Modern Physics A 18, no. 10 (2003): 1733–47. http://dx.doi.org/10.1142/s0217751x03014162.

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The noncommutative string theory is described by embedding open string theory in a constant second rank antisymmetric Bμν field and the noncommutative gauge theory is defined by a deformed ⋆ product. As a check, the study of various scattering amplitudes in both noncommutative string and noncommutative gauge theory confirms that in the α′ → 0 limit, the noncommutative string theoretic amplitude goes over to the noncommutative gauge theoretic amplitude and the couplings are related as [Formula: see text]. Furthermore, we show that in this limit there will not be any correction to the gauge theo

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36

GROSSE, HARALD, and RAIMAR WULKENHAAR. "RENORMALIZATION OF A NONCOMMUTATIVE FIELD THEORY." International Journal of Modern Physics A 27, no. 12 (2012): 1250067. http://dx.doi.org/10.1142/s0217751x12500674.

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We discuss a special Euclidean [Formula: see text]-quantum field theory over quantized space–time as an example of a renormalizable field theory. Using a Ward identity, it was possible to prove the vanishing of the beta function for the coupling constant to all orders in perturbation theory. We extend this work and obtain from the Schwinger–Dyson equation a nonlinear integral equation for the renormalized two-point function alone. The nontrivial renormalized four-point function fulfills a linear integral equation with the inhomogeneity determined by the two-point function. These integral equat

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37

GROSSE, HARALD, and RAIMAR WULKENHAAR. "RENORMALIZATION OF A NONCOMMUTATIVE FIELD THEORY." International Journal of Modern Physics: Conference Series 13 (January 2012): 108–17. http://dx.doi.org/10.1142/s2010194512006770.

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We discuss a special Euclidean [Formula: see text]-quantum field theory over quantized space-time as an example of a renormalizable field theory. Using a Ward identity, it was possible to prove the vanishing of the beta function for the coupling constant to all orders in perturbation theory. We extend this work and obtain from the Schwinger-Dyson equation a non-linear integral equation for the renormalized two-point function alone. The non-trivial renormalized four-point function fulfils a linear integral equation with the inhomogeneity determined by the two-point function. These integral equa

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38

Chaichian, M., A. Demichev, P. Prešnajder, and A. Tureanu. "Noncommutative quantum field theory: unitarity and discrete time." Physics Letters B 515, no. 3-4 (2001): 426–30. http://dx.doi.org/10.1016/s0370-2693(01)00497-x.

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39

Chaichian, M., M. Mnatsakanova, A. Tureanu, and Yu Vernov. "Test functions space in noncommutative quantum field theory." Journal of High Energy Physics 2008, no. 09 (2008): 125. http://dx.doi.org/10.1088/1126-6708/2008/09/125.

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40

Chaichian, M., T. Salminen, A. Tureanu, and K. Nishijima. "Noncommutative quantum field theory: a confrontation of symmetries." Journal of High Energy Physics 2008, no. 06 (2008): 078. http://dx.doi.org/10.1088/1126-6708/2008/06/078.

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41

Aastrup, Johannes, and Jesper Møller Grimstrup. "On nonperturbative quantum field theory and noncommutative geometry." Journal of Geometry and Physics 145 (November 2019): 103466. http://dx.doi.org/10.1016/j.geomphys.2019.06.017.

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42

Kulish, P. P. "Twists of quantum groups and noncommutative field theory." Journal of Mathematical Sciences 143, no. 1 (2007): 2806–15. http://dx.doi.org/10.1007/s10958-007-0166-6.

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43

Fischer, André, and Richard J. Szabo. "UV/IR duality in noncommutative quantum field theory." General Relativity and Gravitation 43, no. 9 (2010): 2509–22. http://dx.doi.org/10.1007/s10714-010-1046-9.

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44

Mignemi, S. "The Snyder Model and Quantum Field Theory." Ukrainian Journal of Physics 64, no. 11 (2019): 991. http://dx.doi.org/10.15407/ujpe64.11.991.

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We review the main features of the relativistic Snyder model and its generalizations. We discuss the quantum field theory on this background using the standard formalism of noncommutative QFT and discuss the possibility of obtaining a finite theory.

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45

Schreiber, Urs, and Michael Shulman. "Quantum Gauge Field Theory in Cohesive Homotopy Type Theory." Electronic Proceedings in Theoretical Computer Science 158 (July 29, 2014): 109–26. http://dx.doi.org/10.4204/eptcs.158.8.

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46

Potvin, Jean, Harvey Gould, and Jan Tobochnik. "Computational Quantum Field Theory. Part II: Lattice Gauge Theory." Computers in Physics 8, no. 2 (1994): 170. http://dx.doi.org/10.1063/1.4823280.

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47

Arai, Masato, Sami Saxell, Anca Tureanu, and Nobuhiro Uekusa. "Circumventing the no-go theorem in noncommutative gauge field theory." Physics Letters B 661, no. 2-3 (2008): 210–15. http://dx.doi.org/10.1016/j.physletb.2008.02.018.

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48

SIDHARTH, B. G. "SYMMETRY BREAKING IN GAUGE FIELD THEORY DUE TO NONCOMMUTATIVE SPACETIME." International Journal of Modern Physics E 14, no. 02 (2005): 215–18. http://dx.doi.org/10.1142/s0218301305002941.

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It is well known that a typical Yang–Mills Gauge Field is mediated by massless Bosons. It is only through a symmetry breaking mechanism, as in the Salam–Weinberg model that the quanta of such an interaction field acquire a mass in the usual theory. Here, we demonstrate that without taking recourse to the usual symmetry breaking mechanism, it is still possible to achieve this, given a noncommutative geometrical underpinning for spacetime.

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49

Trampetić, J. "Renormalizability and phenomenology of θ-expanded noncommutative gauge field theory". Fortschritte der Physik 56, № 4-5 (2008): 521–31. http://dx.doi.org/10.1002/prop.200710529.

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50

GHOSH, SUBIR. "SPACETIME SYMMETRIES IN NONCOMMUTATIVE GAUGE THEORY: A HAMILTONIAN ANALYSIS." Modern Physics Letters A 19, no. 33 (2004): 2505–17. http://dx.doi.org/10.1142/s0217732304014963.

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We study spacetime symmetries in noncommutative (NC) gauge theory in the (constrained) Hamiltonian framework. The specific example of NC CP(1) model, posited in Ref. 9, has been considered. Subtle features of Lorentz invariance violation in NC field theory were pointed out in Ref. 13. Out of the two — observer and particle — distinct types of Lorentz transformations, symmetry under the former, (due to the translation invariance), is reflected in the conservation of energy and momentum in NC theory. The constant tensor θμν (the noncommutativity parameter) destroys invariance under the latter. I

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