137 research outputs found
3-D lattice simulation of the electroweak phase transition at small Higgs mass
We study the electroweak phase transition by lattice simulations of an
effective 3-dimensional theory, for a Higgs mass of about . In the
broken symmetry phase our results on masses and the Higgs condensate are
consistent with 2-loop perturbative results. However, we find a
non-perturbative lowering of the transition temperature, similar to the one
previously found at . For the symmetric phase, bound state masses
and the static force are determined and compared with results for pure
theory.Comment: 11 pages, uuencoded ps-file, 5 postscript figures include
Physics of the Electroweak Phase Transition at M_H <= 70 GeV in a 3-dimensional SU(2)-Higgs Model
Physical parameters of the electroweak phase transition in a 3d effective
lattice SU(2)-Higgs model are presented. The phase transition temperatures,
latent heats and continuum condensate discontinuities are measured at Higgs
masses of about 70 and 35 GeV. Masses and Higgs condensates are compared to
perturbation theory in the broken phase. In the symmetric phase bound states
and the static force are determined.Comment: Talk presented at LATTICE96(electroweak), 4 pages, 5 figure
--Dimensional Approach to Hot Electroweak Matter for GeV
We study the electroweak phase transition by lattice simulations of an
effective 3-dimensional theory, for a Higgs mass of about GeV. Exploiting
a variant of the equal weight criterion of phase equilibrium, we obtain
transition temperature, latent heat and surface tension and compare with GeV. For the symmetric phase, bound state masses and the static
force are determined and compared with results for pure theory.Comment: 6 pages with 4 figures, latex,postscript figures and uuencode
One-Loop Quantum Energy Densities of Domain Wall Field Configurations
We discuss a simple procedure for computing one-loop quantum energies of any
static field configuration that depends non-trivially on only a single spatial
coordinate. We specifically focus on domain wall-type field configurations that
connect two distinct minima of the effective potential, and may or may not be
the solutions of classical field equations. We avoid the conventional summation
of zero-point energies, and instead exploit the relation between functional
determinants and solutions of associated differential equations. This approach
allows ultraviolet divergences to be easily isolated and extracted using any
convenient regularization scheme. Two examples are considered: two-dimensional
theory, and three-dimensional scalar electrodynamics with spontaneous
symmetry breaking at the one-loop level.Comment: RevTex, 29 pages, 1 figure, minor corrections, references adde
Detailed Phase Transition Study at M_H <= 70 GeV in a 3-dimensional --Higgs Model
We study the electroweak phase transition in an effective 3-dimensional
theory for a Higgs mass of about 70 GeV by Monte Carlo simulations. The
transition temperature and jumps of order parameters are obtained and
extrapolated to the continuum using multi-histogram techniques and finite size
analysis.Comment: Talk presented at LATTICE96(electroweak), 4 pages, 5 figure
Derivative expansion of quadratic operators in a general 't Hooft gauge
A derivative expansion technique is developed to compute functional
determinants of quadratic operators, non diagonal in spacetime indices. This
kind of operators arise in general 't Hooft gauge fixed Lagrangians. Elaborate
applications of the developed derivative expansion are presented.Comment: 40 pages, to appear in Phys. Rev.
Derivative expansion and gauge independence of the false vacuum decay rate in various gauges
In theories with radiative symmetry breaking, the calculation of the false
vacuum decay rate requires the inclusion of higher-order terms in the
derivative expansion of the effective action. I show here that, in the case of
covariant gauges, the presence of infrared singularities forbids the consistent
calculation by keeping the lowest-order terms. The situation is remedied,
however, in the case of gauges. Using the Nielsen identities I show
that the final result is gauge independent for generic values of the gauge
parameter that are not anomalously small.Comment: Some comments and references adde
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