6,246 research outputs found
Radiative Symmetry Breaking and Dynamical Origin of Cosmological Constant in Theory with Non-Linear Curvature Coupling
A scalar self-interacting theory non-linearly coupled with some power of the
curvature have a possibility to explain the current smallness of the
cosmological constant. Here one concentrate on a massless scalar field in the
four-dimensional Fridmann-Robertson-Walker (FRW) spacetime with flat spatial
part. One show the phase structure of radiative symmetry breaking and review a
dynamical resolution of the cosmological constant problem.Comment: 9 pages. To appear in the proceedings of 7th Workshop on Quantum
Field Theory Under the Influence of External Conditions (QFEXT 05),
Barcelona, Catalonia, Spain, 5-9 Sep 200
Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
A dynamical mechanism for symmetry breaking is investigated under the
circumstances with the finite curvature, finite size and non-trivial topology.
A four- and eight-fermion interaction model is considered as a prototype model
which induces symmetry breaking at GUT era. Evaluating the effective potential
in the leading order of the 1/N-expansion by using the dimensional
regularization, we explicitly calculate the phase boundary which divides the
symmetric and the broken phase in a weakly curved space-time and a flat
space-time with non-trivial topology, .Comment: 20 pages, 21 figure
Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
Nambu--Jona-Lasinio (NJL) model with Kobayashi-Maskawa-'t Hooft (KMT) term is
one of low energy effective theory of QCD which includes the anomaly.
We investigate nonet meson properties in this model with three flavors of
quarks. We employ two type of regularizations the dimensional and sharp cutoff
ones. The model parameters are fixed phenomenologically for each
regularization. Evaluating the kaon decay constant, the meson mass and
the topological susceptibility, we show the regularization dependence of the
results and discuss the applicability of the NJL model.Comment: 11 pages, 9 figure
and mesons at finite temperature and density in the NJL model with dimensional regularization
Dynamical Symmetry breaking and meson masses are studied in the
Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential
using the dimensional regularization. Since the model is not renormalizable in
four space-time dimensions, physical results and parameters depend on the
regularization method. Following the imaginary time formalism, we introduce the
temperature, and the chemical potential, . The parameters in the model
are fixed by calculating the pion mass and decay constant in the dimensional
regularization at .Comment: 28 pages, 9 figures, v2: a few points corrected and references adde
Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions
The phase structure of a four- and eight-fermion interaction model is
investigated at finite temperature and chemical potential in arbitrary
space-time dimensions, . The effective potential and the gap
equation are calculated in the leading order of the 1/N expansion. If the first
order phase transition takes place, the phase boundary dividing the symmetric
and the broken phase is modified by the eight-fermion interaction.Comment: 20 pages, 26 figures; revised argument and added reference for
section
Inhomogeneous Quasi-stationary States in a Mean-field Model with Repulsive Cosine Interactions
The system of N particles moving on a circle and interacting via a global
repulsive cosine interaction is well known to display spatially inhomogeneous
structures of extraordinary stability starting from certain low energy initial
conditions. The object of this paper is to show in a detailed manner how these
structures arise and to explain their stability. By a convenient canonical
transformation we rewrite the Hamiltonian in such a way that fast and slow
variables are singled out and the canonical coordinates of a collective mode
are naturally introduced. If, initially, enough energy is put in this mode, its
decay can be extremely slow. However, both analytical arguments and numerical
simulations suggest that these structures eventually decay to the spatially
uniform equilibrium state, although this can happen on impressively long time
scales. Finally, we heuristically introduce a one-particle time dependent
Hamiltonian that well reproduces most of the observed phenomenology.Comment: to be published in J. Phys.
Schwinger-Dyson Analysis of Dynamical Symmetry Breaking on a Brane with Bulk Yang-Mills Theory
The dynamically generated fermion mass is investigated in the flat brane
world with (4+delta)-dimensional bulk space-time, and in the Randall-Sundrum
(RS) brane world. We consider the bulk Yang-Mills theory interacting with the
fermion confined on a four-dimensional brane. Based on the effective theory
below the reduced cutoff scale on the brane, we formulate the Schwinger-Dyson
equation of the brane fermion propagator. By using the improved ladder
approximation we numerically solve the Schwinger-Dyson equation and find that
the dynamical fermion mass is near the reduced cutoff scale on the brane for
the flat brane world with delta >= 3 and for the RS brane world. In RS brane
world KK excited modes of the bulk gauge field localized around the y = pi R
brane and it enhances the dynamical symmetry breaking on the brane. The decay
constant of the fermion and the anti-fermion composite operator can be taken to
be the order of the electroweak scale much smaller than the Planck scale.
Therefore electroweak mass scale can be realized from only the Planck scale in
the RS brane world due to the fermion and the anti-fermion pair condensation.
That is a dynamical realization of Randall-Sundrum model which solves the
weak-Planck hierarchy problem.Comment: 21 pages, 12 figures; typos corrected, references added and updated,
footnotes adde
Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
We investigate the phase diagram on temperature-chemical potential plane in
the Nambu-Jona-Lasinio model with the dimensional regularization. While the
structure of the resulting diagram shows resemblance to the one in the
frequently used cutoff regularization, some results of our study indicate
striking difference between these regularizations. The diagram in the
dimensional regularization exhibits strong tendency of the first order phase
transition.Comment: 9 pages, 9 figure
Supersymmetric Nambu-Jona-Lasinio Model in an External Gravitational Field
We investigate the effect of an external gravitational fields to the chiral
symmetry breaking in the SUSY (supersymmetric) NJL (Nambu-Jona-Lasinio) model
non-minimally interacting with external supergravity. Evaluating the effective
potential in the leading order of the -expansion and in the linear
curvature approximation it is found the possibility of the chiral symmetry
breaking in the SUSY NJL model in an external gravitational fields. In the
broken phase the dynamically generated mass is analytically and numerically
calculated.Comment: 8 pages, Latex, epic.sty and eepic.sty are use
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