Homotopy RG flow and the non-linear σ-model

被引：1

作者：

Grady, Ryan ^{[1
]}

Williams, Brian ^{[2
]}

机构：

[1] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

TOPOLOGY AND QUANTUM THEORY IN INTERACTION | 2018年 / 718卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/conm/718/14477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this note is to give a mathematical treatment to the low energy effective theory of the two-dimensional sigma-model. Perhaps surprisingly, this low energy effective theory encodes much of the topology and geometry of the target manifold. In particular, we relate the beta-function of our theory to the Ricci curvature of the target, recovering the physical result of Friedan.

引用

页码：187 / 211

页数：25

共 50 条

[31] Non-linear model for time
Devito, CL
ASTROPHYSICS AND SPACE SCIENCE, 1996, 244 (1-2) : 357 - 369
[32] A Non-linear Model in Grinding
Stanescu, Nicolae-Doru
ADVANCES IN MANUFACTURING ENGINEERING, QUALITY AND PRODUCTION SYSTEMS, VOL I, 2009, : 242 - +
[33] Solving a class of linear and non-linear optimal control problems by homotopy perturbation method
Effati, S.
Nik, H. Saberi
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2011, 28 (04) : 539 - 553
[34] Non-linear flow in fractured rock
Kolditz, O.
International Journal of Numerical Methods for Heat and Fluid Flow, 2001, 11 (5-6): : 547 - 575
[35] NON-LINEAR ANALYSIS OF A TRAFFIC FLOW
SHARMA, VD
SHARMA, RR
PANDEY, BD
GUPTA, N
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (06): : 828 - 837
[36] Non-linear analysis of traffic flow
Nair, AS
Liu, JC
Rilett, L
Gupta, S
2001 IEEE INTELLIGENT TRANSPORTATION SYSTEMS - PROCEEDINGS, 2001, : 681 - 685
[37] Non-linear flow in fractured rock
Kolditz, O
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2001, 11 (5-6) : 547 - 575
[38] Non-Linear Reconstruction for ERT Inverse Problem Based on Homotopy Algorithm
Zhang, Wei
Tan, Chao
Dong, Feng
IEEE SENSORS JOURNAL, 2023, 23 (10) : 10404 - 10412
[39] A NOVEL APPROACH IN HOMOTOPY PERTURBATION METHOD FOR THE EXPANSION OF NON-LINEAR TERMS
Zaidi, Z. A.
Ahmed, Naveed
Khan, Umar
Mohyud-Din, Syed Tauseef
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, (31): : 169 - 176
[40] Application of homotopy-perturbation to non-linear partial differential equations
Cveticanin, L.
CHAOS SOLITONS & FRACTALS, 2009, 40 (01) : 221 - 228

← 1 2 3 4 5 →