Service Unavailable: Maintenance for System Migration : Fri, 23rd Aug 09:00-13:00, 2024(JST)

Aug 4 – 7, 2020
online
Asia/Tokyo timezone

The lattice Yang-Mills theory with a gauge-invariant gluon mass in view of the gauge-invariant BEH mechanism towards confinement

Aug 7, 2020, 4:40 PM
20m
online

online

Vacuum Structure and Confinement Vacuum Structure and Confinement

Speaker

Akihiro SHIBATA (Computing Research Center, KEK)

Description

At the last lattice conference, we have proposed to investigate the massive Yang-Mills model, namely, Yang-Mills theory with a gauge-invariant gluon mass term, in order to clarify the mechanism of quark confinement in the Yang-Mills theory with massgap. The gluon mass term simulates the dynamically generated mass to be extracted in the low-energy effective theory of the Yang-Mills theory and plays the role of a new probe to study the phase structure and confinement mechanism.
In this talk, we first review the massive Yang-Mills model, whose gauge-invariant gluon mass term is deduced from a specific gauge-scalar model with a single radially-fixed scalar field under a suitable constraint called the reduction condition, and why such a gauge-scalar model is constructed without breaking the gauge symmetry through the gauge-independent description of the Brout-Englert-Higgs mechanism which does not rely on the spontaneous breaking of gauge symmetry. Then, we discuss how the numerical simulations for the proposed massive Yang-Mills theory can be performed by taking into account he reduction condition in the complementary gauge-scalar model on a lattice.

Primary author

Akihiro SHIBATA (Computing Research Center, KEK)

Co-authors

Presentation materials