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Journal articles on the topic 'Loop Quantum Gravity'

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Published: 4 June 2021
Last updated: 22 February 2023

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1

THIEMANN, THOMAS. "LOOP QUANTUM GRAVITY." International Journal of Modern Physics A 23, no. 08 (March 30, 2008): 1113–29. http://dx.doi.org/10.1142/s0217751x08039980.

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2

Chiou, Dah-Wei. "Loop quantum gravity." International Journal of Modern Physics D 24, no. 01 (December 28, 2014): 1530005. http://dx.doi.org/10.1142/s0218271815300050.

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This paper presents an "in-a-nutshell" yet self-contained introductory review on loop quantum gravity (LQG) — a background-independent, nonperturbative approach to a consistent quantum theory of gravity. Instead of rigorous and systematic derivations, it aims to provide a general picture of LQG, placing emphasis on the fundamental ideas and their significance. The canonical formulation of LQG, as the central topic of the paper, is presented in a logically orderly fashion with moderate details, while the spin foam theory, black hole thermodynamics, and loop quantum cosmology are covered briefly. Current directions and open issues are also summarized.
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3

Rovelli, Carlo. "Loop quantum gravity." Physics World 16, no. 11 (November 2003): 37–41. http://dx.doi.org/10.1088/2058-7058/16/11/36.

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4

Perez, Alejandro. "Loop quantum gravity." Europhysics News 37, no. 3 (May 2006): 17–21. http://dx.doi.org/10.1051/epn:2006302.

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5

Piguet, O. "Loop Quantum Gravity." Astronomische Nachrichten 335, no. 6-7 (August 2014): 721–26. http://dx.doi.org/10.1002/asna.201412099.

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6

Alesci, Emanuele, and Francesco Cianfrani. "Loop quantum cosmology from quantum reduced loop gravity." EPL (Europhysics Letters) 111, no. 4 (August 1, 2015): 40002. http://dx.doi.org/10.1209/0295-5075/111/40002.

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7

Fatibene, L., M. Ferraris, and M. Francaviglia. "Extended loop quantum gravity." Classical and Quantum Gravity 27, no. 18 (August 3, 2010): 185016. http://dx.doi.org/10.1088/0264-9381/27/18/185016.

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8

van de Ven, Anton E. M. "Two-loop quantum gravity." Nuclear Physics B 378, no. 1-2 (July 1992): 309–66. http://dx.doi.org/10.1016/0550-3213(92)90011-y.

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9

Maia, M. D., S. S. e Almeida Silva, and F. S. Carvalho. "Quaternion-Loop Quantum Gravity." Foundations of Physics 39, no. 11 (September 16, 2009): 1273–79. http://dx.doi.org/10.1007/s10701-009-9350-5.

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10

Toh, Tze-Chuen, and Malcolm R. Anderson. "Knots and gravity." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 41, no. 2 (October 1999): 154–60. http://dx.doi.org/10.1017/s0334270000011127.

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AbstractIn the loop representation theory of non-perturbative quantum gravity, gravitational states are described by functionals on the loop space of a 3-manifold. In the order to gain a deeper insight into the physical interpretation of loop states, a natural question arises: to wit, how are gravitations related to loops? Some light will be shed on this question by establishing a definite relationship between loops and 3-geometries of the 3-manifold.
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11

Rovelli, Carlo. "A new look at loop quantum gravity." Classical and Quantum Gravity 28, no. 11 (May 20, 2011): 114005. http://dx.doi.org/10.1088/0264-9381/28/11/114005.

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12

Moffat, J. W. "Non-anticommutative quantum gravity." International Journal of Modern Physics A 30, no. 17 (June 20, 2015): 1550101. http://dx.doi.org/10.1142/s0217751x15501018.

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A calculation of the one loop gravitational self-energy graph in non-anticommutative quantum gravity reveals that graviton loops are damped by internal momentum dependent factors in the modified propagator and the vertex functions. The non-anticommutative quantum gravity perturbation theory is finite for matter-free gravity and for matter interactions.
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13

YANG, JinSong, and YongGe MA. "Quantum dynamics in loop quantum gravity." Chinese Science Bulletin 60, no. 34 (December 1, 2015): 3287–93. http://dx.doi.org/10.1360/n972015-00942.

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14

Terno, Daniel R. "Quantum information in loop quantum gravity." Journal of Physics: Conference Series 33 (March 1, 2006): 469–74. http://dx.doi.org/10.1088/1742-6596/33/1/061.

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15

Alesci, Emanuele, and Francesco Cianfrani. "Quantum reduced loop gravity and the foundation of loop quantum cosmology." International Journal of Modern Physics D 25, no. 08 (July 2016): 1642005. http://dx.doi.org/10.1142/s0218271816420050.

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Quantum reduced loop gravity is a promising framework for linking loop quantum gravity and the effective semiclassical dynamics of loop quantum cosmology. We review its basic achievements and its main perspectives, outlining how it provides a quantum description of the Universe in terms of a cuboidal graph which constitutes the proper framework for applying loop techniques in a cosmological setting.
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16

GAMBINI, RODOLFO, and JORGE PULLIN. "HOLOGRAPHY FROM LOOP QUANTUM GRAVITY." International Journal of Modern Physics D 17, no. 03n04 (March 2008): 545–49. http://dx.doi.org/10.1142/s0218271808012231.

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We show that holography follows directly from the basic structure of spherically symmetric loop quantum gravity. The result is not dependent on detailed assumptions about the dynamics of the theory being considered. It ties strongly the amount of information contained in a region of space to the tight mathematical underpinnings of loop quantum geometry.
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17

Dass, N. D. Hari, and Manu Mathur. "On loop states in loop-quantum gravity." Classical and Quantum Gravity 24, no. 9 (April 11, 2007): 2179–91. http://dx.doi.org/10.1088/0264-9381/24/9/002.

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18

Wang, Charles H.-T. "Towards conformal loop quantum gravity." Journal of Physics: Conference Series 33 (March 1, 2006): 285–90. http://dx.doi.org/10.1088/1742-6596/33/1/032.

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19

Bahr, Benjamin, and Thomas Thiemann. "Automorphisms in loop quantum gravity." Classical and Quantum Gravity 26, no. 23 (November 12, 2009): 235022. http://dx.doi.org/10.1088/0264-9381/26/23/235022.

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20

Engle, Jonathan. "Piecewise linear loop quantum gravity." Classical and Quantum Gravity 27, no. 3 (January 12, 2010): 035003. http://dx.doi.org/10.1088/0264-9381/27/3/035003.

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21

Zegwaard, Joost. "Gravitons in loop quantum gravity." Nuclear Physics B 378, no. 1-2 (July 1992): 288–308. http://dx.doi.org/10.1016/0550-3213(92)90010-9.

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22

Aleksandrov, S. Yu. "Lorentz-Covariant Loop Quantum Gravity." Theoretical and Mathematical Physics 139, no. 3 (June 2004): 751–65. http://dx.doi.org/10.1023/b:tamp.0000029699.54716.0e.

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23

HAN, MUXIN, YONGGE MA, and WEIMING HUANG. "FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY." International Journal of Modern Physics D 16, no. 09 (September 2007): 1397–474. http://dx.doi.org/10.1142/s0218271807010894.

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In the recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, non-perturbative quantum theory for a Lorentzian gravitational field on a four-dimensional manifold. In the approach, the principles of quantum mechanics are combined with those of general relativity naturally. Such a combination provides us a picture of, so-called, quantum Riemannian geometry, which is discrete on the fundamental scale. Imposing the quantum constraints in analogy from the classical ones, the quantum dynamics of gravity is being studied as one of the most important issues in loop quantum gravity. On the other hand, the semi-classical analysis is being carried out to test the classical limit of the quantum theory. In this review, the fundamental structure of loop quantum gravity is presented pedagogically. Our main aim is to help non-experts to understand the motivations, basic structures, as well as general results. It may also be beneficial to practitioners to gain insights from different perspectives on the theory. We will focus on the theoretical framework itself, rather than its applications, and do our best to write it in modern and precise langauge while keeping the presentation accessible for beginners. After reviewing the classical connection dynamical formalism of general relativity, as a foundation, the construction of the kinematical Ashtekar–Isham–Lewandowski representation is introduced in the content of quantum kinematics. The algebraic structure of quantum kinematics is also discussed. In the content of quantum dynamics, we mainly introduce the construction of a Hamiltonian constraint operator and the master constraint project. At last, some applications and recent advances are outlined. It should be noted that this strategy of quantizing gravity can also be extended to obtain other background-independent quantum gauge theories. There is no divergence within this background-independent and diffeomorphism-invariant quantization program of matter coupled to gravity.
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24

Gambini, Rodolfo, Javier Olmedo, and Jorge Pullin. "Quantum black holes in loop quantum gravity." Classical and Quantum Gravity 31, no. 9 (April 16, 2014): 095009. http://dx.doi.org/10.1088/0264-9381/31/9/095009.

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25

Klauder, John R. "Let Loop Quantum Gravity and Affine Quantum Gravity Examine Each Other." Journal of High Energy Physics, Gravitation and Cosmology 07, no. 03 (2021): 1027–36. http://dx.doi.org/10.4236/jhepgc.2021.73061.

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26

García-Islas, J. Manuel. "Entropic motion in loop quantum gravity." Canadian Journal of Physics 94, no. 6 (June 2016): 569–73. http://dx.doi.org/10.1139/cjp-2015-0730.

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Entropic forces result from an increase of the entropy of a thermodynamical physical system. It has been proposed that gravity is such a phenomenon and many articles have appeared in the literature concerning this problem. We propose a method that may reproduce an entropic force and may be related to loop quantum gravity. By considering the interaction between a fixed gravity state space and a particle state in loop quantum gravity, we show that it leads to a mathematical description of a random walk of such a particle. The random walk, in special situations, can be seen as an entropic motion in such a way that the particle will move towards a location where entropy increases. This may prove that such a theory can reproduce gravity as it is expected.
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27

Wang, Charles H. T. "New ‘phase’ of quantum gravity." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1849 (October 20, 2006): 3375–88. http://dx.doi.org/10.1098/rsta.2006.1904.

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The emergence of loop quantum gravity over the past two decades has stimulated a great resurgence of interest in unifying general relativity and quantum mechanics. Among a number of appealing features of this approach is the intuitive picture of quantum geometry using spin networks and powerful mathematical tools from gauge field theory. However, the present form of loop quantum gravity suffers from a quantum ambiguity, owing to the presence of a free (Barbero–Immirzi) parameter. Following the recent progress on conformal decomposition of gravitational fields, we present a new phase space for general relativity. In addition to spin-gauge symmetry, the new phase space also incorporates conformal symmetry making the description parameter free. The Barbero–Immirzi ambiguity is shown to occur only if the conformal symmetry is gauge fixed prior to quantization. By withholding its full symmetries, the new phase space offers a promising platform for the future development of loop quantum gravity. This paper aims to provide an exposition, at a reduced technical level, of the above theoretical advances and their background developments. Further details are referred to cited references.
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28

García-Islas, J. Manuel. "Quantum Geometry I: Basics of Loop Quantum Gravity." Revista Mexicana de Física E 65, no. 1 (January 21, 2019): 7. http://dx.doi.org/10.31349/revmexfise.65.7.

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General Relativity describes gravity in geometrical terms. This sug-gests that quantising such theory is the same as quantising geometry.The subject can therefore be called quantum geometry and one maythink that mathematicians are responsible of this subject. Unfortunatelymost mathematicians are not aware of this beautiful area of study. Herewe give a basic introduction to what quantum geometry means to a com-munity working in a theory known as loop quantum gravity. It is directedtowards graduate or upper students of physics and mathematics. We doit so from a point of view of a mathematician.
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29

Vyas, Rakshit P., and Mihir J. Joshi. "Loop Quantum Gravity: A Demystified View." Gravitation and Cosmology 28, no. 3 (September 2022): 228–62. http://dx.doi.org/10.1134/s0202289322030094.

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30

Zhang, Xiangdong, Gaoping Long, and Yongge Ma. "Loop quantum gravity and cosmological constant." Physics Letters B 823 (December 2021): 136770. http://dx.doi.org/10.1016/j.physletb.2021.136770.

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31

Zapata, José A. "Combinatorial Space from Loop Quantum Gravity." General Relativity and Gravitation 30, no. 8 (August 1998): 1229–45. http://dx.doi.org/10.1023/a:1026699012787.

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32

Nicolai, Hermann, Kasper Peeters, and Marija Zamaklar. "Loop quantum gravity: an outside view." Classical and Quantum Gravity 22, no. 19 (September 21, 2005): R193—R247. http://dx.doi.org/10.1088/0264-9381/22/19/r01.

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33

Bianchi, Eugenio, Leonardo Modesto, Carlo Rovelli, and Simone Speziale. "Graviton propagator in loop quantum gravity." Classical and Quantum Gravity 23, no. 23 (October 24, 2006): 6989–7028. http://dx.doi.org/10.1088/0264-9381/23/23/024.

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34

Pereira, Roberto. "Lorentzian loop quantum gravity vertex amplitude." Classical and Quantum Gravity 25, no. 8 (April 1, 2008): 085013. http://dx.doi.org/10.1088/0264-9381/25/8/085013.

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35

Grot, Norbert, and Carlo Rovelli. "Weave States in Loop Quantum Gravity." General Relativity and Gravitation 29, no. 8 (August 1997): 1039–48. http://dx.doi.org/10.1023/a:1018876726684.

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36

Livine, Etera, and Johannes Tambornino. "Spinor representation for loop quantum gravity." Journal of Mathematical Physics 53, no. 1 (January 2012): 012503. http://dx.doi.org/10.1063/1.3675465.

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37

Conrady, Florian. "Free vacuum for loop quantum gravity." Classical and Quantum Gravity 22, no. 16 (July 26, 2005): 3261–93. http://dx.doi.org/10.1088/0264-9381/22/16/010.

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38

Perez, Alejandro. "Black holes in loop quantum gravity." Reports on Progress in Physics 80, no. 12 (October 27, 2017): 126901. http://dx.doi.org/10.1088/1361-6633/aa7e14.

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39

Krasnov, Kirill V. "Geometrical entropy from loop quantum gravity." Physical Review D 55, no. 6 (March 15, 1997): 3505–13. http://dx.doi.org/10.1103/physrevd.55.3505.

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40

Di Bartolo, Cayetano, Rodolfo Gambini, and Jorge Griego. "Extended loop representation of quantum gravity." Physical Review D 51, no. 2 (January 15, 1995): 502–16. http://dx.doi.org/10.1103/physrevd.51.502.

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41

Chakravarty, Nabajit, Lipika Mullick, and Pratul Bandyopadhyay. "Fermions, loop quantum gravity and geometry." International Journal of Modern Physics D 26, no. 11 (September 19, 2017): 1750122. http://dx.doi.org/10.1142/s021827181750122x.

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We discuss here the geometry associated with the loop quantum gravity when it is considered to be generated from fermionic degrees of freedom. It is pointed out that a closed loop having the holonomy associated with the [Formula: see text] gauge group is realized from the rotation of the direction vector associated with the quantization of a fermion depicting the spin degrees of freedom. During the formation of a loop a noncyclic path with open ends can be mapped onto a closed loop when the holonomy involves [Formula: see text]-deformed gauge group [Formula: see text]. In this case, the spinorial variable attached to a node of a link is a quasispinor equipped with quasispin associated with the [Formula: see text] group. The quasispinors essentially correspond to the fermions attached to the end points of an open path in loop space. We can consider adiabatic iteration such that the quasispin associated with the [Formula: see text] group gradually evolves as the time dependent deformation parameter [Formula: see text] changes and we have the holonomy associated with the [Formula: see text] group in the limit [Formula: see text]. In this way we can have a continuous geometry developed through a sequence of [Formula: see text]-deformed holonomy-flux phase space variables which leads to a continuous gravitational field. Also it is pointed out that for a truncated general relativity given by loop quantum gravity on a fixed graph we can achieve twisted geometry and Regge geometry.
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42

Lim, Adrian P. C. "Quantized Curvature in Loop Quantum Gravity." Reports on Mathematical Physics 82, no. 3 (December 2018): 355–72. http://dx.doi.org/10.1016/s0034-4877(19)30007-2.

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43

Borissov, R. "Operator calculations in loop quantum gravity." Nuclear Physics B - Proceedings Supplements 57, no. 1-3 (August 1997): 237–40. http://dx.doi.org/10.1016/s0920-5632(97)00388-5.

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44

Livine, Etera R., and Daniel R. Terno. "Bulk entropy in loop quantum gravity." Nuclear Physics B 794, no. 1-2 (May 2008): 138–53. http://dx.doi.org/10.1016/j.nuclphysb.2007.10.027.

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45

Modesto, Leonardo. "Gravitational Collapse in Loop Quantum Gravity." International Journal of Theoretical Physics 47, no. 2 (July 11, 2007): 357–73. http://dx.doi.org/10.1007/s10773-007-9458-3.

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46

Hanusch, Maximilian. "Invariant Connections in Loop Quantum Gravity." Communications in Mathematical Physics 343, no. 1 (March 7, 2016): 1–38. http://dx.doi.org/10.1007/s00220-016-2592-0.

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47

Gambini, Rodolfo, and Jorge Pullin. "Black holes in loop quantum gravity." Journal of Physics: Conference Series 189 (October 1, 2009): 012034. http://dx.doi.org/10.1088/1742-6596/189/1/012034.

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48

Cianfrani, Francesco, Jerzy Kowalski-Glikman, and Giacomo Rosati. "Cyclic universe from Loop Quantum Gravity." EPL (Europhysics Letters) 113, no. 4 (February 1, 2016): 40005. http://dx.doi.org/10.1209/0295-5075/113/40005.

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49

Brunnemann, Johannes, and Tim A. Koslowski. "Symmetry reduction of loop quantum gravity." Classical and Quantum Gravity 28, no. 24 (December 1, 2011): 245014. http://dx.doi.org/10.1088/0264-9381/28/24/245014.

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50

Duston, Christopher L. "Topspin networks in loop quantum gravity." Classical and Quantum Gravity 29, no. 20 (September 10, 2012): 205015. http://dx.doi.org/10.1088/0264-9381/29/20/205015.

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