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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Gauge-fixing with compact lattice gauge fields

Jul 24, 2018, 3:00 PM
20m
104 (Kellogg Hotel and Conference Center)

104

Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Physics Beyond the Standard Model Physics beyond the Standard Model

Speaker

Prof. Asit Kumar De (Professor)

Description

Proper treatment of redundant gauge degrees of freedom seems necessary for gauge theories with terms that explicitly break gauge symmetry (e.g., in chiral gauge theories with manifestly local formulation of lattice fermions) since these degrees of freedom become manifestly present in such theories. There is also a no-go theorem prohibiting use of BRST formalism in theories with compact gauge fields. Results will be presented of our investigation of pure U(1) gauge theory, with higher derivative gauge-fixing term that breaks BRST, at strong gauge coupling that show that the redundant gauge degrees of freedom decouple just as seen previously in the weak coupling region. The general scheme of numerical simulation of an SU(2) gauge theory in the equivariant BRST (eBRST) formalism with dynamical ghost fields in the SU(2)/U(1) coset space will also be presented. Details of the results of the eBRST SU(2) lattice gauge theory and the theory in the reduced limit (obtained by gauge coupling taken to zero) will be covered by Mugdha Sarkar.

Primary author

Prof. Asit Kumar De (Professor)

Co-author

Mr Mugdha Sarkar (Saha Institute of Nuclear Physics)

Presentation Materials