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Phase transition in an O(N) gauge model in two dimensions
We study the phase transition properties of the nonlinear O(N) Ï model in two dimensions when O(N) gauge interactions are included. With nonzero gauge coupling, this theory exhibits a first-order phase transition in the large-N limit. The broken-symmetry phase is stabilized by the Higgs mechanism and Goldstone bosons do not appear. © 1976 The American Physical Society
Relativistic Hydrodynamics with General Anomalous Charges
We consider the hydrodynamic regime of gauge theories with general triangle
anomalies, where the participating currents may be global or gauged, abelian or
non-abelian. We generalize the argument of arXiv:0906.5044, and construct at
the viscous order the stress-energy tensor, the charge currents and the entropy
current.Comment: 13 pages, Revte
Hydrodynamics in 1+1 dimensions with gravitational anomalies
The constraints imposed on hydrodynamics by the structure of gauge and
gravitational anomalies are studied in two dimensions. By explicit integration
of the consistent gravitational anomaly, we derive the equilibrium partition
function at second derivative order. This partition function is then used to
compute the parity-violating part of the covariant energy-momentum tensor and
the transport coefficients.Comment: 9 pages, JHEP format.v2; added comments and references, matching
published versio
An upper bound on the Kaon B-parameter and Re(epsilon_K)
New precise data in B physics and theoretical developments in K physics lead
us to reconsider the weak K^0-\bar{K}^0 transition from a large-N_c viewpoint,
N_c being the number of colors. In this framework, we infer an upper limit on
\hat{B}_K and the Kaon indirect CP violation.Comment: 11 pages, 4 figures. V2 : Minor corrections, final version accepted
for publication in JHE
On the dynamical generation of the Maxwell term and scale invariance
Gauge theories with no Maxwell term are investigated in various setups. The
dynamical generation of the Maxwell term is correlated to the scale invariance
properties of the system. This is discussed mainly in the cases where the gauge
coupling carries dimensions. The term is generated when the theory contains a
scale explicitly, when it is asymptotically free and in particular also when
the scale invariance is spontaneously broken. The terms are not generated when
the scale invariance is maintained. Examples studied include the large
limit of the model in dimensions, a 3D gauged
vector model and its supersymmetric extension. In the latter case the
generation of the Maxwell term at a fixed point is explored. The phase
structure of the case is investigated in the presence of a Chern-Simons
term as well. In the supersymmetric model the emergence of the Maxwell
term is accompanied by the dynamical generation of the Chern-Simons term and
its multiplet and dynamical breaking of the parity symmetry. In some of the
phases long range forces emerge which may result in logarithmic confinement.
These include a dilaton exchange which plays a role also in the case when the
theory has no gauge symmetry. Gauged Lagrangian realizations of the 2D coset
models do not lead to emergent Maxwell terms. We discuss a case where the gauge
symmetry is anomalous.Comment: 38 pages, 4 figures; v2 slightly improved, typos fixed, references
added, published versio
Baryogenesis from a right-handed neutrino condensate
We show that the baryon asymmetry of the Universe can be generated by a
strongly coupled right handed neutrino condensate which also drives inflation.
The resulting model has only a small number of parameters, which completely
determine not only the baryon asymmetry of the Universe and the mass of the
right handed neutrino but also the inflationary phase. This feature allows us
to make predictions that will be tested by current and planned experiments. As
compared to the usual approach our dynamical framework is both economical and
predictive.Comment: 13 pages, 3 figures. Typos corrected and several points clarified.
Results unchanged. New references adde
Vortex Core Structure and Dynamics in Layered Superconductors
We investigate the equilibrium and nonequilibrium properties of the core
region of vortices in layered superconductors. We discuss the electronic
structure of singly and doubly quantized vortices for both s-wave and d-wave
pairing symmetry. We consider the intermediate clean regime, where the
vortex-core bound states are broadened into resonances with a width comparable
to or larger than the quantized energy level spacing, and calculate the
response of a vortex core to an {\em a.c.} electromagnetic field for vortices
that are pinned to a metallic defect. We concentrate on the case where the
vortex motion is nonstationary and can be treated by linear response theory.
The response of the order parameter, impurity self energy, induced fields and
currents are obtained by a self-consistent calculation of the distribution
functions and the excitation spectrum. We then obtain the dynamical
conductivity, spatially resolved in the region of the core, for external
frequencies in the range, 0.1\Delta < \hbar\omega \lsim 3\Delta. We also
calculate the dynamically induced charge distribution in the vicinity of the
core. This charge density is related to the nonequilibrium response of the
bound states and collective mode, and dominates the electromagnetic response of
the vortex core.Comment: Presented at the 2000 Workshop on ``Microscopic Structure and
Dynamics of Vortices in Unconventional Superconductors and Superfluids'',
held at the Max Planck Institute for the Physics of Complex Systems in
Dresden, Germany (28 pages with 15 figures). Alternate version with higher
resolution figures:
http://snowmass.phys.nwu.edu/~sauls/Eprints/Dresden2000.htm
Introduction to Chiral Perturbation Theory
A brief introduction to chiral perturbation theory, the effective field
theory of quantum chromodynamics at low energies, is given.Comment: 26 pages, 11 figures. Lectures given at the summer school ISSSMB 2006
in Akyaka, Turkey, September 200
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