Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions

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dc.creatorGiedt, Joel
dc.creatorPoppitz, Erich
dc.date2007-01-04
dc.date2007-10-24
dc.date.accessioned2026-07-07T11:01:56Z
dc.date.available2026-07-07T11:01:56Z
dc.descriptionThe Yukawa-Higgs/Ginsparg-Wilson-fermion construction of chiral lattice gauge theories described in hep-lat/0605003 uses exact lattice chirality to decouple the massless chiral fermions from a mirror sector, whose strong dynamics is conjectured to give cutoff-scale mass to the mirror fermions without breaking the chiral gauge symmetry. In this paper, we study the mirror sector dynamics of a two-dimensional chiral gauge theory in the limitof strong Yukawa and vanishing gauge couplings, in which case it reduces to an XY model coupled to Ginsparg-Wilson fermions. For the mirror fermions to acquire cutoff-scale mass it is believed to be important that the XY model remain in its "high temperature" phase, where there is no algebraic ordering--a conjecture supported by the results of our work. We use analytic and Monte-Carlo methods with dynamical fermions to study the scalar and fermion susceptibilities, and the mirror fermion spectrum. Our results provide convincing evidence that the strong dynamics does not "break" the chiral symmetry (more precisely, that the mirror fermions do not induce algebraic ordering in two-dimensions), and that the mirror fermions decouple from the infrared physics.
dc.description44 pages, 18 figures; v2: clarification of fermion operators, discussion of recent related works
dc.identifierhttps://arxiv.org/abs/hep-lat/0701004
dc.identifierhttp://arxiv.org/abs/hep-lat/0701004
dc.identifierJHEP0710:076,2007
dc.identifierdoi:10.1088/1126-6708/2007/10/076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188101
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleChiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
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