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 $1/n^3$”, TMF, 94:2 (1993), 179–192; Theoret. and Math. Phys., 94:2 (1993), 127

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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 2, Pages 179–192 (Mi tmf1415)

This article is cited in 84 scientific papers (total in 84 papers)

The

$1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the index

$\eta$ in order

$1/n^3$

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

Saint-Petersburg State University

Full-text PDF (1490 kB) Citations (84)

References:

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Abstract: Using the conformal invariance of the Green's functions for the fields in the Gross–Neveu model in the critical regime that was proved earlier, we now use the conformal-bootstrap method for arbitrary space dimension

$d$ to calculate the critical dimension of the master field (index \ifmmode \eta \else

$\eta$ \fi) in order

$1/n^3$ and of the auxiliary field in order

$1/n^2$ , i. e., to an order higher by one than the previously known results.

Received: 28.06.1992

English version:
Theoretical and Mathematical Physics, 1993, Volume 94, Issue 2, Pages 127–136
DOI: https://doi.org/10.1007/BF01019324

Bibliographic databases:

Language: Russian

Citation: 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

$1/n^3$ ”, TMF, 94:2 (1993), 179–192; Theoret. and Math. Phys., 94:2 (1993), 127–136

Citation in format AMSBIB

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

\paper The $1/n$ expansion in the Gross--Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$

\jour TMF

\yr 1993

\vol 94

\issue 2

\pages 179--192

\mathnet{http://mi.mathnet.ru/tmf1415}

\transl

\jour Theoret. and Math. Phys.

\yr 1993

\vol 94

\issue 2

\pages 127--136

\crossref{https://doi.org/10.1007/BF01019324}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LZ24300001}

Linking options:

https://www.mathnet.ru/eng/tmf1415

https://www.mathnet.ru/eng/tmf/v94/i2/p179

This publication is cited in the following 84 articles:

Gordon W. Semenoff, Riley A. Stewart, “Parity-violating marginal deformation of the 3D Gross-Neveu-Thirring model”, Phys. Rev. D, 111:2 (2025)
Huanzhi Hu, Frank Krüger, “Quantum criticality of type-I and critically tilted Dirac semimetals”, Physica C: Superconductivity and its Applications, 632 (2025), 1354687
SangEun Han, Shouryya Ray, Igor F. Herbut, “Gross-Neveu-Yukawa SO(2) and SO(3) tensorial criticality”, Phys. Rev. B, 111:11 (2025)
Shiroman Prakash, Shubham Kumar Sinha, “Emergent supersymmetry at large N”, J. High Energ. Phys., 2024:1 (2024)
SangEun Han, Igor F. Herbut, “Spontaneous breaking of the SO(2N) symmetry in the Gross-Neveu model”, Phys. Rev. D, 109:9 (2024)
SangEun Han, Igor F. Herbut, “Gross-Neveu-Yukawa theory of SO(2N)→SO(N)×SO(N) spontaneous symmetry breaking”, Phys. Rev. B, 110:12 (2024)
I. F. Herbut, “Wilson-Fisher fixed points in the presence of Dirac fermions”, Mod. Phys. Lett. B, 2024
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland, David Simmons-Duffin, “The Gross-Neveu-Yukawa archipelago”, J. High Energ. Phys., 2023:2 (2023)
Igor F. Herbut, Subrata Mandal, “SO(8) unification and the large- N theory of superconductor-insulator transition of two-dimensional Dirac fermions”, Phys. Rev. B, 108:16 (2023)
Shiroman Prakash, “Spectrum of a Gross-Neveu Yukawa model with flavor disorder in three dimensions”, Phys. Rev. D, 107:6 (2023)
Claudio Bonati, Alessio Franchi, Andrea Pelissetto, Ettore Vicari, “Chiral critical behavior of 3D lattice fermionic models with quartic interactions”, Phys. Rev. D, 107:3 (2023)
Noam Chai, Mikhail Goykhman, Ritam Sinha, “Conformal correlators in the critical O(N) vector model”, Phys. Rev. D, 105:8 (2022)
J. A. Gracey, “Five loop renormalization of the Wess-Zumino model”, Phys. Rev. D, 105:2 (2022)
Laura Classen, J H Pixley, Elio J König, “Interaction-induced velocity renormalization in magic-angle twisted multilayer graphene”, 2D Mater., 9:3 (2022), 031001
John A. Gracey, “Generalized Gross–Neveu Universality Class with Non-Abelian Symmetry”, SIGMA, 17 (2021), 064, 20 pp.
J. A. Gracey, “Critical exponent η at O(1/N3) in the chiral XY model using the large N conformal bootstrap”, Phys. Rev. D, 103:6 (2021)
Shouryya Ray, Bernhard Ihrig, Daniel Kruti, John A. Gracey, Michael M. Scherer, Lukas Janssen, “Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order”, Phys. Rev. B, 103:15 (2021)
M. A. Shpot, “Boundary conformal field theory at the extraordinary transition: The layer susceptibility to O(ε)”, J. High Energ. Phys., 2021:1 (2021)
Oleg Antipin, Jahmall Bersini, Francesco Sannino, Zhi-Wei Wang, Chen Zhang, “More on the cubic versus quartic interaction equivalence in the O(N) model”, Phys. Rev. D, 104:8 (2021)
Andreas Wipf, Lecture Notes in Physics, 992, Statistical Approach to Quantum Field Theory, 2021, 475

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

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