997 research outputs found
Gauge theories induced by bosons in fundamental representation
A lattice theory of scalar bosons in the fundamental representation of the
gauge group and of the global symmetry group is shown to
induce a standard gauge theory only at large . The system is in a
deconfined phase at strong scalar self-coupling and any finite . The
requirement of convergence of the effective gauge action imposes a lower limit
on the scalar mass.Comment: 11 page
A New Field Theoretic Approach to Criticality
A reorganized perturbation expansion with a propagator of soft infrared
behavior is used to study the critical behavior of the mass gap. The condition
of relativistic covariance fixes the form of the soft propagator. Finite
approximants to the correlation critical exponent can be obtained in every
order of the modified, soft perturbation expansion. Alternatively, a convergent
series of exponents in large orders of the soft perturbation expansion is
provided by the renormalization group in all spatial dimensions, . The result of the -expansion is recovered in the
limit.Comment: 22 page
Analytic approximation to 5 dimensional Black Holes with one compact dimension
We study black hole solutions in space, using an expansion to
fourth order in the ratio of the radius of the horizon, , and the
circumference of the compact dimension, . A study of geometric and
thermodynamic properties indicates that the black hole fills the space in the
compact dimension at . At the same value of
the entropies of the uniform black string and of the black hole are
approximately equal.Comment: 21 pages, 4 figures. Replaces previous version, with added references
and slightly altered discussio
Duals of nonabelian gauge theories in dimensions
The dual of an arbitrary -dimensional nonabelian lattice gauge theory,
obtained after character expansion and integration over the gauge group, is
shown to be a {\em local} lattice theory in the eigenspace of the Casimir
operators. For we also provide the explicit form of the action as a
product of character expansion coefficients and Racah coefficients. The
representation can be used to facilitate strong coupling expansions.
Furthermore, the possibility of simulations, at weak coupling, in the dual
representation, is also discussed
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