THE SEGAL–BARGMANN TRANSFORM FOR TWO-DIMENSIONAL EUCLIDEAN QUANTUM YANG

THE SEGAL–BARGMANN TRANSFORM FOR TWO-DIMENSIONAL EUCLIDEAN QUANTUM YANG–MILLS

Published:1999-03 Issue:01 Volume:02 Page:27-49
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ALBEVERIO SERGIO¹,HALL BRIAN C.²,SENGUPTA AMBAR N.³

Affiliation:

1. Institute of Applied Mathematics, University of Bonn, D-53115 Bonn; SFB 256 (Bonn); BiBoS SFB237 (Essen-Bochum-Düsseldorf); CERFIM (Locarno), Locarno

2. Department of Mathematics, University of California, San Diego, La Jolla, CA 92093-0112, USA

3. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA

Abstract

The Segal–Bargmann transform of certain Wilson loop variables for quantum Yang–Mills theory on the plane is determined explicitly.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025799000035

Reference12 articles.

1. A Mathematical Construction of the Non-Abelian Chern-Simons Functional Integral

2. Coherent State Transforms for Spaces of Connections

3. On a Hilbert space of analytic functions and an associated integral transform part I

4. Uniqueness of Ground States for Schrödinger Operators over Loop Groups

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