Lattice chiral gauge theories in a renormalizable gauge
نویسندگان
چکیده
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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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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Path integration over Euclidean chiral fermions is replaced by the quantum mechanics of an auxiliary system of non{interacting fermions. Our construction avoids the no{go theorem and faithfully maintains all the known important features of chiral fermions, including the violation of some perturbative conservation laws by gauge eld conngurations of non{trivial topology.
متن کاملA Lattice Construction of Chiral Gauge Theories
We formulate chiral gauge theories non-perturbatively, using two different cuttoffs for the fermions and gauge bosons. We use a lattice with spacing b to regulate the gauge fields in standard fashion, while computing the chiral fermion determinant on a finer lattice with spacing f ≪ b. This determinant is computed in the background of f -lattice gauge fields, obtained by gauge-covariantly inter...
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We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of the fermion determinant is replaced with the square root of the determinant for a fermion with vector-like couplings to the gauge field; a double limit is t...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1997
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(96)00748-7