Existence of hyperbolic calorons-Reference-Cited by-同舟云学术

Existence of hyperbolic calorons

Published:2015-04 Issue:2176 Volume:471 Page:20140970
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Sibner Lesley¹,Sibner Robert²,Yang Yisong³⁴

Affiliation:

1. Department of Mathematics, Polytechnic Institute of New York University, Brooklyn, New York, NY 11201, USA

2. Department of Mathematics, Brooklyn College, City University of New York, Brooklyn, New York, NY 11210, USA

3. Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475000, People's Republic of China

4. NYU–ECNU Institute of Mathematical Sciences, New York University - Shanghai, 3663 North Zhongshan Road, Shanghai 200062, People's Republic of China

Abstract

Recent work of Harland shows that the SO (3)-symmetric, dimensionally reduced, charge- N self-dual Yang–Mills calorons on the hyperbolic space H 3 × S 1 may be obtained through constructing N -vortex solutions of an Abelian Higgs model as in the study of Witten on multiple instantons. In this paper, we establish the existence of such minimal action charge- N calorons by constructing arbitrarily prescribed N -vortex solutions of the Witten type equations.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2014.0970

Reference25 articles.

1. Classical solutions ofSU(2)Yang—Mills theories

2. Quantum meaning of classical field theory

3. Euclidean solutions and finite temperature gauge theory

4. Periodic Euclidean solutions and the finite-temperature Yang-Mills gas

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