A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “Proof of conformal invariance in the critical regime for models of Gross–Neveu type”, TMF, 92:3 (1992), 486–497; Theoret. and Math. Phys., 92:3 (1992), 1047

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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 92, Number 3, Pages 486–497 (Mi tmf1518)

This article is cited in 12 scientific papers (total in 12 papers)

Proof of conformal invariance in the critical regime for models of Gross–Neveu type

A. N. Vasil'ev^a, S. È. Derkachev^a, N. A. Kivel'^a, A. S. Stepanenko

^a Saint-Petersburg State University

Full-text PDF (1585 kB) Citations (12)

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Abstract: It is shown that for all multiplicatively renormalizable fermionic models without derivativs in the interaction, in particular, for the Gross–Neveu model, conformal invariance of the Green's functions of the fields in the critical regime (massless model at fixed renormalization-group point) automatically follows from the scale invariance for arbitrary space dimension.

Received: 22.06.1992

English version:
Theoretical and Mathematical Physics, 1992, Volume 92, Issue 3, Pages 1047–1054
DOI: https://doi.org/10.1007/BF01017082

Bibliographic databases:

Language: Russian

Citation: A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “Proof of conformal invariance in the critical regime for models of Gross–Neveu type”, TMF, 92:3 (1992), 486–497; Theoret. and Math. Phys., 92:3 (1992), 1047–1054

Citation in format AMSBIB

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\by A.~N.~Vasil'ev, S.~\`E.~Derkachev, N.~A.~Kivel', A.~S.~Stepanenko

\paper Proof of conformal invariance in the critical regime for models of Gross--Neveu type

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\issue 3

\pages 486--497

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\transl

\jour Theoret. and Math. Phys.

\yr 1992

\vol 92

\issue 3

\pages 1047--1054

\crossref{https://doi.org/10.1007/BF01017082}

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Linking options:

https://www.mathnet.ru/eng/tmf1518

https://www.mathnet.ru/eng/tmf/v92/i3/p486

This publication is cited in the following 12 articles:

V.M. Braun, A.N. Manashov, S.-O. Moch, M. Strohmaier, “Conformal symmetry of QCD in d-dimensions”, Physics Letters B, 793 (2019), 78
V.M. Braun, A.N. Manashov, “Two-loop evolution equations for light-ray operators”, Physics Letters B, 734 (2014), 137
Bitan Roy, Kun Yang, “Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system”, Phys. Rev. B, 88:24 (2013)
A. N. Vasil'ev, M. I. Vyazovskii, S. È. Derkachev, N. A. Kivel', “Three loops calculation of the field anomalous dimension in the full four-fermion $U_N$ -symmetrical model”, Theoret. and Math. Phys., 107:3 (1996), 710–719
A.V. Kotikov, “The Gegenbauer Polynomial technique: the evaluation of a class of Feynman diagrams”, Physics Letters B, 375:1-4 (1996), 240
Simon Hands, “O(1/Nf) corrections to the Thirring model in 2<d<4”, Phys. Rev. D, 51:10 (1995), 5816
J.A. Gracey, “conformal bootstrap solution of the SU(2) × SU(2) Nambu-Jona-Lasinio model”, Physics Letters B, 342:1-4 (1995), 297
Massimiliano Ciuchini, J.A. Gracey, “On the N = 2 supersymmetric σ model and Chern-Simons terms”, Nuclear Physics B, 454:1-2 (1995), 103
N.A. Kivel, A.S. Stepanenko, A.N. Vasil'ev, “On the calculation of 2 + ε RG functions in the Gross-Neveu model from large-N expansions of critical exponents”, Nuclear Physics B, 424:3 (1994), 619
B. Rosenstein, A. D. Speliotopoulos, H. L. Yu, “Some properties of the finite temperature chiral phase transition”, Phys. Rev. D, 49:12 (1994), 6822
A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “The $1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$ ”, Theoret. and Math. Phys., 94:2 (1993), 127–136
A. N. Vasil'ev, A. S. Stepanenko, “The $1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the exponent $1/\nu$ to the order $1/n^2$ ”, Theoret. and Math. Phys., 97:3 (1993), 1349–1354

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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