19 research outputs found
Real null coframes in general relativity and GPS type coordinates
Based on work of Derrick, Coll, and Morales, we define a `symmetric' null
coframe with {\it four real null covectors}. We show that this coframe is
closely related to the GPS type coordinates recently introduced by Rovelli.Comment: Latex script, 9 pages, 4 figures; references added to work of
Derrick, Coll, and Morales, 1 new figur
Inhomogeneous chiral symmetry breaking in noncommutative four fermion interactions
The generalization of the Gross-Neveu model for noncommutative 3+1 space-time
has been analyzed. We find indications that the chiral symmetry breaking occurs
for an inhomogeneous background as in the LOFF phase in condensed matter.Comment: 17 pages, 2 figures, published version, minor correction
Out-of-equilibrium electromagnetic radiation
We derive general formulas for photon and dilepton production rates from an
arbitrary non-equilibrated medium from first principles in quantum field
theory. At lowest order in the electromagnetic coupling constant, these relate
the rates to the unequal-time in-medium photon polarization tensor and
generalize the corresponding expressions for a system in thermodynamic
equilibrium. We formulate the question of electromagnetic radiation in real
time as an initial value problem and consistently describe the virtual
electromagnetic dressing of the initial state. In the limit of slowly evolving
systems, we recover known expressions for the emission rates and work out the
first correction to the static formulas in a systematic gradient expansion.
Finally, we discuss the possible application of recently developed techniques
in non-equilibrium quantum field theory to the problem of electromagnetic
radiation. We argue, in particular, that the two-particle-irreducible (2PI)
effective action formalism provides a powerful resummation scheme for the
description of multiple scattering effects, such as the
Landau-Pomeranchuk-Migdal suppression recently discussed in the context of
equilibrium QCD.Comment: 34 pages, 9 figures, uses JHEP3.cl
The self-consistent bounce: an improved nucleation rate
We generalize the standard computation of homogeneous nucleation theory at
zero temperature to a scenario in which the bubble shape is determined
self-consistently with its quantum fluctuations. Studying two scalar models in
1+1 dimensions, we find the self-consistent bounce by employing a two-particle
irreducible (2PI) effective action in imaginary time at the level of the
Hartree approximation. We thus obtain an effective single bounce action which
determines the rate exponent. We use collective coordinates to account for the
translational invariance and the growth instability of the bubble and finally
present a new nucleation rate prefactor. We compare the results with those
obtained using the standard 1-loop approximation and show that the
self-consistent rate can differ by several orders of magnitude.Comment: 28 pages, revtex, 7 eps figure
Brane-skyrmions and wrapped states
In the context of a brane world and including an induced curvature term in
the brane action, we obtain the effective lagrangian for the Goldstone bosons
(branons) associated with the spontaneous breaking of the translational
invariance in the bulk. In addition to the branons, this effective action has
Skyrmion-like solitonic states which can be understood as holes in the brane.
We study their main properties such as mass and size, the Skyrmion-branon
interaction and their possible fermionic quantization. We also consider states
where the brane is wrapped around the extra dimensions and their relation with
the brane-skyrmions. Finally, we extend our results to higher-dimensional
branes, such as those appearing in M-theory, where brane-skyrmions could also
be present.Comment: 35 pages, 7 figures. Revised version. Appendix and new references
included. To appear in Phys. Rev.
The Non-Trivial Effective Potential of the `Trivial' lambda Phi^4 Theory: A Lattice Test
The strong evidence for the `triviality' of (lambda Phi^4)_4 theory is not
incompatible with spontaneous symmetry breaking. Indeed, for a `trivial' theory
the effective potential should be given exactly by the classical potential plus
the free-field zero-point energy of the shifted field; i.e., by the one-loop
effective potential. When this is renormalized in a simple, but nonperturbative
way, one finds, self-consistently, that the shifted field does become
non-interacting in the continuum limit. For a classically scale-invariant (CSI)
lambda Phi^4 theory one finds m_h^2 = 8 pi^2 v^2, predicting a 2.2 TeV Higgs
boson. Here we extend our earlier work in three ways: (i) we discuss the
analogy with the hard-sphere Bose gas; (ii) we extend the analysis from the CSI
case to the general case; and (iii) we propose a test of the predicted shape of
the effective potential that could be tested in a lattice simulation.Comment: 22 pages, LaTeX, DE-FG05-92ER40717-
Partial Deconfinement in Color Superconductivity
We analyze the fate of the unbroken SU(2) color gauge interactions for 2
light flavors color superconductivity at non zero temperature. Using a simple
model we compute the deconfining/confining critical temperature and show that
is smaller than the critical temperature for the onset of the superconductive
state itself. The breaking of Lorentz invariance, induced already at zero
temperature by the quark chemical potential, is shown to heavily affect the
value of the critical temperature and all of the relevant features related to
the deconfining transition. Modifying the Polyakov loop model to describe the
SU(2) immersed in the diquark medium we argue that the deconfinement transition
is second order. Having constructed part of the equation of state for the 2
color superconducting phase at low temperatures our results are relevant for
the physics of compact objects featuring a two flavor color superconductive
state.Comment: 9 pp, 4 eps-figs, version to appear in PR
Universality, the QCD critical/tricritical point and the quark number susceptibility
The quark number susceptibility near the QCD critical end-point (CEP), the
tricritical point (TCP) and the O(4) critical line at finite temperature and
quark chemical potential is investigated. Based on the universality argument
and numerical model calculations we propose a possibility that the hidden
tricritical point strongly affects the critical phenomena around the critical
end-point. We made a semi-quantitative study of the quark number susceptibility
near CEP/TCP for several quark masses on the basis of the
Cornwall-Jackiw-Tomboulis (CJT) potential for QCD in the improved-ladder
approximation. The results show that the susceptibility is enhanced in a wide
region around CEP inside which the critical exponent gradually changes from
that of CEP to that of TCP, indicating a crossover of different universality
classes.Comment: 18 pages, 10 figure
A Critical Analysis of the Proton Form Factor with Sudakov Suppression and Intrinsic Transverse Momentum
The behavior of the proton magnetic form factor is studied within the
modified hard scattering picture, which takes into account gluonic radiative
corrections in terms of transverse separations. We parallel the analysis given
previously by Li and make apparent a number of serious objections. The
appropriate cut-off needed to render the form-factor calculation finite is both
detailed and analyzed by considering different cut-off prescriptions. The use
of the maximum interquark separation as a common infrared cut-off in the
Sudakov suppression factor is proposed, since it avoids difficulties with the
-singularities and yields a proton form factor insensitive to the
inclusion of the soft region which therefore can be confidently attributed to
perturbative QCD. Results are presented for a variety of proton wave functions
including also their intrinsic transverse momentum. It turns out that the
perturbative contribution, although theoretically self-consistent for
larger than about ~GeV to ~GeV, is too small compared to
the data.Comment: 31 pages (RevTex) + 6 figures in PS-file; preprint BUGH Wuppertal
WU-B-94-06, preprint Ruhr-Universit\"at Bochum RUB-TPII-01/9