Abstract
In this paper, we study [Formula: see text] symmetry of [Formula: see text] gauge group, in one-dimensional gauged chain. The action can be obtained by considering the terms of a [Formula: see text]-dimensional Euclidean lattice action of a [Formula: see text] gauge theory that break the [Formula: see text] symmetry explicitly. The matter fields in the resulting partition function can be integrated out exactly, for a given background of link variables, to calculate the Polyakov loop free energy. To keep the temperature fixed, the lattice spacing is scaled appropriately as the number of “temporal” sites is varied. In the case of Higgs as matter field, the Polyakov loop free energy exhibits the [Formula: see text] symmetry in the limit of large number of temporal sites. For fermions, the strength of [Formula: see text] explicit breaking decreases for finer lattices, but approaches a nonzero value in the same limit. We discuss the possible implications of these results to [Formula: see text] gauge theories in [Formula: see text] dimensions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
