From perturbative to non-perturbative in the O(4) sigma model

被引：14

作者：

Abbott, Michael C. ^{[1
]}

Bajnok, Zoltan ^{[1
]}

Balog, Janos ^{[1
]}

Hegedus, Arpad ^{[1
]}

机构：

[1] Wigner Res Ctr Phys, Konkoly Thege Miklos U 29-33, H-1121 Budapest, Hungary

来源：

PHYSICS LETTERS B | 2021年 / 818卷

关键词：

MATRIX;

D O I：

10.1016/j.physletb.2021.136369

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the resurgent trans-series for the free energy of the two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability, we obtain very high-order perturbative data, from which we can explore non-perturbative sectors. We are able to determine exactly the leading real-valued exponentially small terms, which we check against the direct numerical solution of the exact integral equation, and find complete agreement. (C) 2021 The Authors. Published by Elsevier B.V.

引用

页数：6

共 31 条

[1] Abbott M.C., NUOVO CIMENTO A
[2] The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
Aniceto, Ines
Jankowski, Jakub
Meiring, Ben
Spalinski, Michal
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (02)
[3] A primer on resurgent transseries and their asymptotics
Aniceto, Ines
Basar, Gokce
Schiappa, Ricardo
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2019, 809 : 1 - 135
[4] Nonperturbative Ambiguities and the Reality of Resurgent Transseries
Aniceto, Ines
Schiappa, Ricardo
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 335 (01) : 183 - 245
[5] [Anonymous], 1977, Sov. Phys. JETP
[6] Complete Tenth-Order QED Contribution to the Muon g-2
Aoyama, Tatsumi
Hayakawa, Masashi
Kinoshita, Toichiro
Nio, Makiko
[J]. PHYSICAL REVIEW LETTERS, 2012, 109 (11)
[7] Scaling function in AdS/CFT from the O(6) sigma model
Bajnok, Z.
Balog, J.
Basso, B.
Korchemsky, G. P.
Palla, L.
[J]. NUCLEAR PHYSICS B, 2009, 811 (03) : 438 - 462
[8] Compelling Evidence of Renormalons in QCD from High Order Perturbative Expansions
Bauer, Clemens
Bali, Gunnar S.
Pineda, Antonio
[J]. PHYSICAL REVIEW LETTERS, 2012, 108 (24)
[9] ANHARMONIC OSCILLATOR
BENDER, CM
WU, TT
[J]. PHYSICAL REVIEW, 1969, 184 (05): : 1231 - &
[10] Renormalons
Beneke, M
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1999, 317 (1-2): : 1 - 142

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