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Journal articles on the topic 'Dyson Schwinger equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 October 2024

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1

SHOJAEI-FARD, ALI. "MOTIVIC DYSON–SCHWINGER EQUATIONS." International Journal of Modern Physics A 28, no. 20 (2013): 1350102. http://dx.doi.org/10.1142/s0217751x13501029.

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We consider Dyson–Schwinger Equations (DSEs) in the context of Connes–Kreimer renormalization Hopf algebra of Feynman diagrams and Connes–Marcolli universal Tannakian formalism. This study leads us to formulate a family of Picard–Fuchs equations and a category of Feynman motivic sheaves with respect to each combina torial DSE.

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2

Yeats, Karen. "Rearranging Dyson-Schwinger equations." Memoirs of the American Mathematical Society 211, no. 995 (2011): 0. http://dx.doi.org/10.1090/s0065-9266-2010-00612-4.

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3

Guralnik, Gerald, and Cengiz Pehlevan. "Complex Langevin equations and Schwinger–Dyson equations." Nuclear Physics B 811, no. 3 (2009): 519–36. http://dx.doi.org/10.1016/j.nuclphysb.2008.11.034.

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4

CAMPBELL-SMITH, A. "COMPOSITE OPERATOR EFFECTIVE POTENTIAL APPROACH TO QED3." Modern Physics Letters A 13, no. 29 (1998): 2337–46. http://dx.doi.org/10.1142/s0217732398002485.

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The composite operator effective potential is compared with the conventional Dyson–Schwinger method as a calculational tool for (2+1)-dimensional quantum electro-dynamics. It is found that when the fermion propagator ansatz is put directly into the effective potential, it reproduces exactly the usual gap equations derived in the Dyson–Schwinger approach.

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5

Shojaei-Fard, Ali. "Graph polynomials associated with Dyson-Schwinger equations." Mathematica Moravica 27, no. 2 (2023): 91–114. http://dx.doi.org/10.5937/matmor2302091s.

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Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially. Feynman graphons, which topologically complete the space of Feynman diagrams of a gauge field theory, are considered to formulate some random graph representations for solutions of quantum motions. This framework leads us to explain the structures of Tutte and Kirchhoff-Symanzik polynomials associated with solutions of Dyson-Schwinger equations. These new graph polynomials are applied to formulate a new parametric r

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6

Berezin, A. V., A. A. Mironov, E. S. Sozinov, and A. M. Fedotov. "Dyson - Schwinger equations in scalar electrodynamics." Journal of Physics: Conference Series 2036, no. 1 (2021): 012008. http://dx.doi.org/10.1088/1742-6596/2036/1/012008.

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7

Blasone, M., P. Jizba, and L. Smaldone. "Schwinger-Dyson equations and flavor mixing." Journal of Physics: Conference Series 1071 (August 2018): 012003. http://dx.doi.org/10.1088/1742-6596/1071/1/012003.

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8

Binosi, Daniele, and Joannis Papavassiliou. "Pinch technique for Schwinger-Dyson equations." Journal of High Energy Physics 2007, no. 03 (2007): 041. http://dx.doi.org/10.1088/1126-6708/2007/03/041.

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9

Roberts, C. D. "Hadron properties and Dyson–Schwinger equations." Progress in Particle and Nuclear Physics 61, no. 1 (2008): 50–65. http://dx.doi.org/10.1016/j.ppnp.2007.12.034.

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10

Küster, Jens, and Gernot Münster. "Tadpole summation by Dyson-Schwinger equations." Zeitschrift für Physik C 73, no. 3 (1997): 551. http://dx.doi.org/10.1007/s002880050346.

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11

Foissy, Loïc. "General Dyson–Schwinger Equations and Systems." Communications in Mathematical Physics 327, no. 1 (2014): 151–79. http://dx.doi.org/10.1007/s00220-014-1941-0.

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12

Salcedo, Lorenzo Luis, and Erhard Seiler. "Schwinger–Dyson equations and line integrals." Journal of Physics A: Mathematical and Theoretical 52, no. 3 (2018): 035201. http://dx.doi.org/10.1088/1751-8121/aaefca.

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13

Alkofer, R., M. Q. Huber, and K. Schwenzer. "Algorithmic derivation of Dyson–Schwinger equations." Computer Physics Communications 180, no. 6 (2009): 965–76. http://dx.doi.org/10.1016/j.cpc.2008.12.009.

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14

Klaczynski, Lutz. "Resurgent transseries & Dyson–Schwinger equations." Annals of Physics 372 (September 2016): 397–448. http://dx.doi.org/10.1016/j.aop.2016.06.003.

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15

FUKUMA, MASAFUMI, HIKARU KAWAI, and RYUICHI NAKAYAMA. "CONTINUUM SCHWINGER-DYSON EQUATIONS AND UNIVERSAL STRUCTURES IN TWO-DIMENSIONAL QUANTUM GRAVITY." International Journal of Modern Physics A 06, no. 08 (1991): 1385–406. http://dx.doi.org/10.1142/s0217751x91000733.

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We study the continuum Schwinger-Dyson equations for nonperturbative two-dimensional quantum gravity coupled to various matter fields. The continuum Schwinger-Dyson equations for the one-matrix model are explicitly derived and turn out to be a formal Virasoro condition on the square root of the partition function, which is conjectured to be the τ function of the KdV hierarchy. Furthermore, we argue that general multi-matrix models are related to the W algebras and suitable reductions of KP hierarchy and its generalizations.

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16

HECHT, M. B., C. D. ROBERTS, and S. M. SCHMIDT. "DYSON-SCHWINGER EQUATIONS – ASPECTS OF THE PION." International Journal of Modern Physics A 16, supp01c (2001): 1241–44. http://dx.doi.org/10.1142/s0217751x01009429.

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The contemporary use of Dyson-Schwinger equations in hadronic physics is exemplified via applications to the calculation of pseudoscalar meson masses, and inclusive deep inelastic scattering with a determination of the pion's valence-quark distribution function.

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17

Kock, Joachim. "Polynomial functors and combinatorial Dyson–Schwinger equations." Journal of Mathematical Physics 58, no. 4 (2017): 041703. http://dx.doi.org/10.1063/1.4977012.

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18

Tian, Ya-Lan, Zhu-Fang Cui, Bin Wang, Yuan-Mei Shi, You-Chang Yang, and Hong-Shi Zong. "Dyson–Schwinger Equations of Chiral Chemical Potential." Chinese Physics Letters 32, no. 8 (2015): 081101. http://dx.doi.org/10.1088/0256-307x/32/8/081101.

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19

Alfaro, J., and Poul H. Damgaard. "Schwinger-Dyson equations as supersymmetric ward identities." Physics Letters B 222, no. 3-4 (1989): 425–28. http://dx.doi.org/10.1016/0370-2693(89)90337-7.

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20

Butera, Paolo, Marco Comi, and Giuseppe Marchesini. "Strong coupling expansion via Schwinger-Dyson equations." Nuclear Physics B - Proceedings Supplements 4 (April 1988): 628–30. http://dx.doi.org/10.1016/0920-5632(88)90168-5.

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21

Berrondo, M., and J. F. Van Huele. "Normalized Schwinger-Dyson equations in Quantum Electrodynamics." Foundations of Physics Letters 3, no. 5 (1990): 491–95. http://dx.doi.org/10.1007/bf00665931.

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22

Bender, Carl M., Fred Cooper, and L. M. Simmons. "Nonunique solution to the Schwinger-Dyson equations." Physical Review D 39, no. 8 (1989): 2343–49. http://dx.doi.org/10.1103/physrevd.39.2343.

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23

Krüger, Olaf. "Log expansions from combinatorial Dyson–Schwinger equations." Letters in Mathematical Physics 110, no. 8 (2020): 2175–202. http://dx.doi.org/10.1007/s11005-020-01288-8.

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24

ODINTSOV, S. D., and YU I. SHIL’NOV. "SCHWINGER-DYSON EQUATIONS IN QED AT NON-ZERO TEMPERATURE." Modern Physics Letters A 06, no. 08 (1991): 707–10. http://dx.doi.org/10.1142/s0217732391000725.

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25

SHOJAEI-FARD, ALI. "A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS." International Journal of Modern Physics A 28, no. 32 (2013): 1350170. http://dx.doi.org/10.1142/s0217751x13501704.

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We study Dyson–Schwinger equations (DSEs) in terms of some groups of diffeographisms to provide a new geometric formulation for their corresponding counterterms on the basis of systems of ordinary differential equations.

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26

SHOJAEI-FARD, ALI. "THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS". Modern Physics Letters A 28, № 34 (2013): 1350152. http://dx.doi.org/10.1142/s0217732313501526.

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We apply the geometric interpretation of Dyson–Schwinger equations (DSEs) in terms of equi-singular flat connections to provide a process which relates β-functions of a DSE under different regularization schemes.

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27

ALKOFER, R., C. S. FISCHER, F. J. LLANES-ESTRADA, and K. SCHWENZER. "WHAT THE INFRARED BEHAVIOR OF QCD VERTEX FUNCTIONS IN LANDAU GAUGE CAN TELL US ABOUT CONFINEMENT." International Journal of Modern Physics E 16, no. 09 (2007): 2720–32. http://dx.doi.org/10.1142/s0218301307008367.

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The infrared behavior of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson–Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson–Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dre

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28

ELIZALDE, E., S. D. ODINTSOV, A. ROMEO, and YU I. SHIL'NOV. "SCHWINGER–DYSON EQUATIONS AND CHIRAL SYMMETRY BREAKING IN 2-D INDUCED GRAVITY." Modern Physics Letters A 10, no. 06 (1995): 451–56. http://dx.doi.org/10.1142/s021773239500048x.

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The Schwinger–Dyson equations in the ladder approximation for 2-D induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possibility of chiral symmetry breaking in this theory.

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29

Dorkin, Sergey, Leonid Kaptari, and Burkhard Kämpfer. "Pseudo-scalar mesons at finite temperatures from a Dyson-Schwinger-Bethe-Salpeter approach." EPJ Web of Conferences 204 (2019): 08005. http://dx.doi.org/10.1051/epjconf/201920408005.

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The truncated Dyson-Schwinger–Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. At low temperatures, T → 0, we recover a quark propagator from the Dyson-Schwinger (gap) equation smoothly interpolating to the T = 0 results. Utilizing that quark propagator we evaluate the Bethe-Salpeter vertex function in the pseudo-scalar qq̅ channel for the lowest boson Matsubara frequencies and find a competition of qq̅ bound states and quasi-free two-qu

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30

Tanasă, Adrian, and Dirk Kreimer. "Combinatorial Dyson–Schwinger equations in noncommutative field theory." Journal of Noncommutative Geometry 7, no. 1 (2013): 255–89. http://dx.doi.org/10.4171/jncg/116.

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31

Frasca, Marco. "Confinement studies in QCD with Dyson-Schwinger equations." Nuclear and Particle Physics Proceedings 312-317 (July 2021): 161–65. http://dx.doi.org/10.1016/j.nuclphysbps.2021.05.044.

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32

Fischer, Christian S. "Infrared properties of QCD from Dyson–Schwinger equations." Journal of Physics G: Nuclear and Particle Physics 32, no. 8 (2006): R253—R291. http://dx.doi.org/10.1088/0954-3899/32/8/r02.

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33

Maris, Pieter, and Craig D. Roberts. "Dyson–Schwinger Equations: A Tool for Hadron Physics." International Journal of Modern Physics E 12, no. 03 (2003): 297–365. http://dx.doi.org/10.1142/s0218301303001326.

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Dyson–Schwinger equations furnish a Poincaré covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation ha

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34

Gutiérrez, Enif, Aftab Ahmad, Alejandro Ayala, Adnan Bashir, and Alfredo Raya. "The QCD phase diagram from Schwinger–Dyson equations." Journal of Physics G: Nuclear and Particle Physics 41, no. 7 (2014): 075002. http://dx.doi.org/10.1088/0954-3899/41/7/075002.

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35

Kreimer, Dirk, and Karen Yeats. "An Étude in non-linear Dyson–Schwinger Equations." Nuclear Physics B - Proceedings Supplements 160 (October 2006): 116–21. http://dx.doi.org/10.1016/j.nuclphysbps.2006.09.036.

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36

Raya, Khépani. "Pion transition form factor through Dyson-Schwinger equations." Journal of Physics: Conference Series 761 (October 2016): 012039. http://dx.doi.org/10.1088/1742-6596/761/1/012039.

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37

Kreimer, D. "What is the trouble with Dyson–Schwinger equations?" Nuclear Physics B - Proceedings Supplements 135 (October 2004): 238–42. http://dx.doi.org/10.1016/j.nuclphysbps.2004.09.012.

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38

Krassnigg, A., and C. D. Roberts. "Dyson-Schwinger equations: An instrument for hadron physics." Nuclear Physics A 737 (June 2004): 7–15. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.039.

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39

Deo, Nivedita. "Crossover eigenvalue correlators using Dyson-Schwinger loop equations." Nuclear Physics B 464, no. 3 (1996): 463–71. http://dx.doi.org/10.1016/0550-3213(95)00650-8.

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40

KRASSNIGG, A., C. D. ROBERTS, and S. V. WRIGHT. "MESON SPECTROSCOPY AND PROPERTIES USING DYSON-SCHWINGER EQUATIONS." International Journal of Modern Physics A 22, no. 02n03 (2007): 424–31. http://dx.doi.org/10.1142/s0217751x07035616.

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We study pseudoscalar and scalar mesons using a practical and symmetry preserving truncation of QCD's Dyson-Schwinger equations. We investigate and compare properties of ground and radially excited meson states. In addition to exact results for radial meson excitations we also present results for meson masses and decay constants from the chiral limit up to the charm-quark mass, e.g., the mass of the χc0(2P) meson.

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41

Hihn, Markus, and Karen Yeats. "Generalized chord diagram expansions of Dyson–Schwinger equations." Annales de l’Institut Henri Poincaré D 6, no. 4 (2019): 573–605. http://dx.doi.org/10.4171/aihpd/79.

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42

Huber, Markus Q., and Mario Mitter. "CrasyDSE: A framework for solving Dyson–Schwinger equations." Computer Physics Communications 183, no. 11 (2012): 2441–57. http://dx.doi.org/10.1016/j.cpc.2012.05.019.

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43

Sohn, R. B. "Schwinger-Dyson equations in the background field gauge." Nuclear Physics B 273, no. 2 (1986): 468–86. http://dx.doi.org/10.1016/0550-3213(86)90254-3.

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44

Adam, C. "The Dyson-Schwinger equations in the instanton vacuum of the Schwinger model." Czechoslovak Journal of Physics 46, no. 10 (1996): 893–904. http://dx.doi.org/10.1007/bf01795138.

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45

Windisch, Andreas, Thomas Gallien, and Christopher Schwarzlmüller. "A machine learning pipeline for autonomous numerical analytic continuation of Dyson-Schwinger equations." EPJ Web of Conferences 258 (2022): 09003. http://dx.doi.org/10.1051/epjconf/202225809003.

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Dyson-Schwinger equations (DSEs) are a non-perturbative way to express n-point functions in quantum field theory. Working in Euclidean space and in Landau gauge, for example, one can study the quark propagator Dyson-Schwinger equation in the real and complex domain, given that a suitable and tractable truncation has been found. When aiming for solving these equations in the complex domain, that is, for complex external momenta, one has to deform the integration contour of the radial component in the complex plane of the loop momentum expressed in hyper-spherical coordinates. This has to be don

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46

ROBERTS, C. D., A. G. WILLIAMS, and G. KREIN. "ON THE IMPLICATIONS OF CONFINEMENT." International Journal of Modern Physics A 07, no. 22 (1992): 5607–24. http://dx.doi.org/10.1142/s0217751x92002544.

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We consider some implications of confinement starting from the basic observation that cross-sections for the production of colored asymptotic states, such as free quarks and gluons, from color singlet initial states must be zero if QCD is to be confining. We discuss two pictures of confinement: the failure of the cluster decomposition property and the absence of a pole at timelike momenta in the propagator of a confined particle. We use QCD-based models as a framework to relate the failure of the cluster decomposition property to other ideas, such as the role of a nonzero gluon condensate. Our

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47

SHOJAEI-FARD, ALI. "FROM DYSON–SCHWINGER EQUATIONS TO THE RIEMANN–HILBERT CORRESPONDENCE." International Journal of Geometric Methods in Modern Physics 07, no. 04 (2010): 519–38. http://dx.doi.org/10.1142/s0219887810004427.

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In this paper, with the study of combinatorial Dyson–Schwinger equations at the level of the universal Hopf algebra of renormalization and with the extension of the universality of this specific Hopf algebra and also category of flat equisingular vector bundles to the level of these equations, we are going to consider the notion of a geometric description from nonperturbative theory.

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48

Delbourgo, R. "A Critique of the Gauge Technique." Australian Journal of Physics 52, no. 4 (1999): 681. http://dx.doi.org/10.1071/ph99018.

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A summary of the successes of and obstacles to the gauge technique (a non-perturbative method of solving Dyson–Schwinger equations in gauge theories) is given, as well as an outline of how progress may be achieved in this field.

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49

Huber, Markus Q., and Jens Braun. "Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations." Computer Physics Communications 183, no. 6 (2012): 1290–320. http://dx.doi.org/10.1016/j.cpc.2012.01.014.

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50

Shojaei-Fard, Ali. "Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory." Journal of the Indian Mathematical Society 84, no. 1-2 (2017): 109. http://dx.doi.org/10.18311/jims/2017/5839.

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The manuscript implements Connes-Kreimer Hopf algebraic renormalization of Feynman diagrams and Dubois-Violette type noncommutative differential geometry to discover a new class of differential calculi with respect to infinite formal expansions of Feynman diagrams which are generated by Dyson-Schwinger equations.

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