منابع مشابه
Lattice Chiral Gauge Theories
I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions which satisfy the Ginsparg–Wilson relation, and two gauge non-invariant methods, one using different cutoffs for the fermions and the gauge fields, and one using...
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We review some analytic results on the deconfinement transition in pure lattice gauge theories. In particular we discuss the relationship between the deconfinement transition in the (d + 1)-dimensional SU(2) model and the magnetization transition in the d-dimensional Ising model. This analysis leads to a precise estimate of the deconfinement temperature which agrees well with that obtained with...
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We revisit the lattice formulation of the Abelian Chern-Simons model defined on an infinite Euclidean lattice. We point out that any gauge invariant, local and parity odd Abelian quadratic form exhibits, in addition to the zero eigenvalue associated with the gauge invariance and to the physical zero mode at ~p = ~0 due to translational invariance, a set of extra zero eigenvalues inside the Bril...
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After an introduction in which we review the fundamental difficulty in constructing lattice chiral gauge theories, we discuss the analytic and numerical evidence that abelian lattice chiral gauge theories can be non-perturbatively constructed through the gauge-fixing approach. While a complete non-abelian extension is still under construction, we also show how fermion-number violating processes...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1985
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01206178