Abstract
It is shown numerically, in a chiral U(1) gauge Higgs theory in which the left and right-handed fermion components have opposite U(1) charges, that the spectrum of gauge and Higgs fields surrounding a static fermion contains both a ground state and at least one stable excited state. To bypass the difficulties associated with dynamical fermions in a lattice chiral gauge theory we consider only static fermion sources in a quenched approximation, at fixed lattice spacing and couplings, and with a lattice action along the lines suggested long ago by Smit and Swift.
Highlights
Suppose, in a confining gauge theory with only very massive quarks, we place a static quark and antiquark some large distance apart
This leads to a natural question: is there a nontrivial spectrum for a static fermion-antifermion pair in a nonconfining gauge Higgs theory? By “nontrivial” we mean a spectrum containing stable localized excited states, excitations which are distinct from just the ground state plus some number of propagating bosons in the asymptotic particle spectrum of the theory
In previous work [3,4] we have found it useful to employ, for the construction of physical states containing static charges, a type of pseudomatter operator originally introduced by Vink and Wiese [16] in an effort to devise a gauge free of Gribov ambiguities
Summary
In a confining gauge theory with only very massive quarks, we place a static quark and antiquark some large distance apart. Like any quantum system, the flux tube has a ground state and a spectrum of excited states, and this spectrum has been observed, in SU(3) pure gauge theory in D 1⁄4 4 dimensions, via lattice Monte Carlo simulations [1,2] This leads to a natural question: is there a nontrivial spectrum for a static fermion-antifermion pair in a nonconfining gauge Higgs theory? By “nontrivial” we mean a spectrum containing stable localized excited states, excitations which are distinct from just the ground state plus some number of propagating bosons in the asymptotic particle spectrum of the theory Recent work in both SU(3) gauge Higgs theory [3] and in the Abelian Higgs model [4] indicates that the answer to this question is affirmative, at least in some range of couplings in the Higgs phase..
Sign-in/Register to view highlights & summary 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.
