Large N critical exponents for the chiral Heisenberg Gross-Neveu universality class

被引：41

作者：

Gracey, J. A. ^{[1
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Theoret Phys Div, POB 147, Liverpool L69 3BX, Merseyside, England

来源：

PHYSICAL REVIEW D | 2018年 / 97卷 / 10期

关键词：

CONFORMAL BOOTSTRAP CALCULATION; 1/N EXPANSION; ARBITRARY DIMENSIONS; CRITICAL-BEHAVIOR; BETA-FUNCTION; MODEL; ETA; COMPUTATION; O(1/N2); POINT;

D O I：

10.1103/PhysRevD.97.105009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the large N critical exponents eta, eta phi and 1/nu in d dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of 1 /N. Forinstance, the large N conformal bootstrap method is used to determine eta at O(1/N-3)OwhiN the other exponents are computed to 0(1 /N-2).O Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behavior of the exponents in 2 < d < 4 is in qualitative agreement with a functional renormalization group analysis. The epsilon expansion of each exponent near four dimensions is in exact agreement with recent four loop perturbation theory.

引用

页数：17

共 55 条

[41] Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice [J].

Sorella, Sandro ;

Otsuka, Yuichi ;

Yunoki, Seiji .

SCIENTIFIC REPORTS, 2012, 2

[42] The multithreaded version of FORM [J].

Tentyukov, M. ;

Vermaseren, J. A. M. .

COMPUTER PHYSICS COMMUNICATIONS, 2010, 181 (08) :1417-1425

[43] Fermionic quantum criticality in honeycomb and π-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo [J].

Toldin, Francesco Parisen ;

Hohenadler, Martin ;

Assaad, Fakher F. ;

Herbut, Igor F. .

PHYSICAL REVIEW B, 2015, 91 (16)

[44] Monte Carlo Study of the Semimetal-Insulator Phase Transition in Monolayer Graphene with a Realistic Interelectron Interaction Potential [J].

Ulybyshev, M. V. ;

Buividovich, P. V. ;

Katsnelson, M. I. ;

Polikarpov, M. I. .

PHYSICAL REVIEW LETTERS, 2013, 111 (05)

[45] 1/N EXPANSION - CALCULATION OF THE EXPONENT-ETA AND NV-EXPONENT IN THE ORDER 1/N2 FOR ARBITRARY NUMBER OF DIMENSIONS [J].

VASILEV, AN ;

PISMAK, YM ;

KHONKONEN, YR .

THEORETICAL AND MATHEMATICAL PHYSICS, 1981, 47 (03) :465-480

[46] THE CPN-1 MODEL - CALCULATION OF ANOMALOUS DIMENSIONS AND THE MIXING MATRICES IN THE ORDER 1/N [J].

VASILEV, AN ;

NALIMOV, MY .

THEORETICAL AND MATHEMATICAL PHYSICS, 1983, 56 (01) :643-653

[47] SIMPLE METHOD OF CALCULATING THE CRITICAL INDEXES IN THE 1/N EXPANSION [J].

VASILEV, AN ;

PISMAK, YM ;

KHONKONEN, YR .

THEORETICAL AND MATHEMATICAL PHYSICS, 1981, 46 (02) :104-113

[48] THE 1/N EXPANSION IN THE GROSS-NEVEU MODEL - CONFORMAL BOOTSTRAP CALCULATION OF THE INDEX-ZETA IN ORDER 1/N(3) [J].

VASILEV, AN ;

DERKACHEV, SE ;

KIVEL, NA ;

STEPANENKO, AS .

THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 94 (02) :127-136

[49] ANALOG OF DIMENSIONAL REGULARIZATION FOR CALCULATION OF THE RENORMALIZATION-GROUP FUNCTIONS IN THE 1/N EXPANSION FOR ARBITRARY DIMENSION OF SPACE [J].

VASILEV, AN ;

NALIMOV, MY .

THEORETICAL AND MATHEMATICAL PHYSICS, 1983, 55 (02) :423-431

[50] 1/N EXPANSION - CALCULATION OF THE EXPONENT-ETA IN THE ORDER 1/N3 BY THE CONFORMAL BOOTSTRAP METHOD [J].

VASILEV, AN ;

PISMAK, YM ;

KHONKONEN, YR .

THEORETICAL AND MATHEMATICAL PHYSICS, 1982, 50 (02) :127-134

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