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...
متن کاملLattice Gauge Theories
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...
متن کاملSymplectic Structures and Continuum Lattice Formulations of Gauge Field Theories
Interesting non-linear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator valued distributions. Therefore, one is usually forced to find a classical substitute for such a function depending on a regulator which is expressed in terms of smeared quantities and which can be quantized in a well-defined ...
متن کاملLattice Chiral Gauge Theories through Gauge Fixing
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...
متن کاملAnharmonic Analysis of Lattice Field Theories
In a previous paper we showed that a class of real space renormalization group calculations could be reinterpreted as an orthogonal transformation of coordinates followed by an approximate (variational) evaluation of the resulting hamiltonian. Here we shall discuss the orthogonal transform method and concentrate on analytic rather than numerical results. The transform method may ultimately be m...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1982
ISSN: 0370-2693
DOI: 10.1016/0370-2693(82)90573-1