Sine-Gordon quantum mechanics on the complex plane and N=2 gauge theory

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.105017· OSTI ID:21409773

Wei, He ^[1]

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1. Department of Physics, Nankai University, Tianjin 300071 (China)

We study the relation between the N=2 gauge theory in the {Omega} background and the quantized integral system recently proposed by Nekrasov and Shatashvili. We focus on the simplest case, the pure Yang-Mills theory with the SU(2) gauge group and the corresponding sine-Gordon integral model on the complex plane. We analyze the periodic wave function and the corresponding energy spectrum of the sine-Gordon quantum mechanics, and find this model contains information of the low energy effective theory of the gauge theory.

• OSTI ID: 21409773
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.105017; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY SPECTRA
GAUGE INVARIANCE
PERIODICITY
QUANTUM MECHANICS
SINE-GORDON EQUATION
SU-2 GROUPS
WAVE FUNCTIONS
YANG-MILLS THEORY
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MECHANICS
SPECTRA
SU GROUPS
SYMMETRY GROUPS
VARIATIONS