317 research outputs found
Smooth Non-Abelian Bosonization
We present an extension of ``smooth bosonization'' to the non-Abelian case.
We construct an enlarged theory containing both bosonic and fermionic fields
which exhibits a local chiral gauge symmetry. A gauge fixing function depending
on one real parameter allows us to interpolate smoothly between a purely
fermionic and a purely bosonic representation. The procedure is, in the special
case of bosonization, complementary to the approach based on duality.Comment: LaTeX, 13 pages, CERN--TH-7347/9
Smooth Bosonization II: The Massive Case
The (1+1)-dimensional bosonization relations for fermionic mass terms are
derived by choosing a specific gauge in an enlarged gauge-invariant theory
containing both fermionic and bosonic fields. The fermionic part of the
generating functional subject to the gauge constraint can be cast into the form
of a strongly coupled Schwinger model, which can be solved exactly. The
resulting bosonic theory coupled to the scalar sources then exhibits directly
the bosonic counterparts of the fermionic scalar and pseudoscalar mass
densities.Comment: 8 pages, Latex, CERN-TH-6563/9
Statistics of the gravitational force in various dimensions of space: from Gaussian to Levy laws
We discuss the distribution of the gravitational force created by a
Poissonian distribution of field sources (stars, galaxies,...) in different
dimensions of space d. In d=3, it is given by a Levy law called the Holtsmark
distribution. It presents an algebraic tail for large fluctuations due to the
contribution of the nearest neighbor. In d=2, it is given by a marginal
Gaussian distribution intermediate between Gaussian and Levy laws. In d=1, it
is exactly given by the Bernouilli distribution (for any particle number N)
which becomes Gaussian for N>>1. Therefore, the dimension d=2 is critical
regarding the statistics of the gravitational force. We generalize these
results for inhomogeneous systems with arbitrary power-law density profile and
arbitrary power-law force in a d-dimensional universe
How to Test Stringy Dark Energy?
It is suggested, by using a covariant lagrangian formalism to estimate the
equation of state , that stringy dark energy predicts , a
negative pressure larger in magnitude than that for a cosmological constant or
quintessence. This would lead to a later transition from decelerating to
accelerating cosmological expansion; is briefly considered as one
illustrative example.Comment: 4 pages LaTeX. v2. Typos correcte
Dicyclic Horizontal Symmetry and Supersymmetric Grand Unification
It is shown how to use as horizontal symmetry the dicyclic group in a supersymmetric unification where
one acts on the first and second families, in a horizontal doublet, and
the other acts on the third. This can lead to acceptable quark masses and
mixings, with an economic choice of matter supermultiplets, and charged lepton
masses can be accommodated.Comment: 10 pages, LaTe
When do colliding bubbles produce an expanding universe?
It is intriguing to consider the possibility that the Big Bang of the
standard (3+1) dimensional cosmology originated from the collision of two
branes within a higher dimensional spacetime, leading to the production of a
large amount of entropy. In this paper we study, subject to certain
well-defined assumptions, under what conditions such a collision leads to an
expanding universe. We assume the absence of novel physics, so that ordinary
(4+1) -dimensional Einstein gravity remains a valid approximation. It is
necessary that the fifth dimension not become degenerate at the moment of
collision. First the case of a symmetric collision of infinitely thin branes
having a hyperbolic or flat spatial geometry is considered. We find that a
symmetric collision results in a collapsing universe on the final brane unless
the pre-existing expansion rate in the bulk just prior to the collision is
sufficiently large in comparison to the momentum transfer in the fifth
dimension. Such prior expansion may either result from negative spatial
curvature or from a positive five-dimensional cosmological constant. The
relevance of these findings to the Colliding Bubble Braneworld Universe
scenario is discussed. Finally, results from a numerical study of colliding
thick-wall branes is presented, which confirm the results of the thin-wall
approximation.Comment: 24 pages, 13 figures. Minor changes and references include
Cosmological Perturbations Generated in the Colliding Bubble Braneworld Universe
We compute the cosmological perturbations generated in the colliding bubble
braneworld universe in which bubbles filled with five-dimensional anti-de
Sitter space (AdS5)expanding within a five dimensional de Sitter space (dS5) or
Minkowski space (M5) collide to form a (3+1) dimensional local brane on which
the cosmology is virtually identical to that of the Randall-Sundrum model. The
perturbation calculation presented here is valid to linear order but treats the
fluctuations of the expanding bubbles as (3+1) dimensional fields localized on
the bubble wall. We find that for bubbles expanding in dS5 the dominant
contribution to the power spectrum is `red' but very small except in certain
cases where the fifth dimension is not large or the bubbles have expanded to
far beyond the dS5 apparent horizon length. This paper supersedes a previous
version titled "Exactly Scale-Invariant Cosmological Perturbations From a
Colliding Bubble Braneworld Universe" in which we erroneously claimed that a
scale-invariant spectrum results for the case of bubbles expanding in M5. This
present paper corrects the errors of the previous version and extends the
analysis to the more interesting and general case of bubbles expanding in dS5.Comment: 29 pages Latex with eps figures. Major errors in the original version
of the paper corrected and analysis extended to bubbles expanding in dS
A Geometry of the Generations
We propose a geometric theory of flavor based on the discrete group
, in the context of the minimal supersymmetric standard model. The
group treats three objects symmetrically, while making fundamental distinctions
between the generations. The top quark is the only heavy quark in the symmetry
limit, and the first and second generation squarks are degenerate. The
hierarchical nature of Yukawa matrices is a consequence of a sequential
breaking of .Comment: 10 pages, 1 EPS figure as uuencoded tar-compressed file, uses
psfig.st
Patterns of Spontaneous Chiral Symmetry Breaking in Vectorlike Gauge Theories
It has been conjectured that spontaneous chiral symmetry breaking in strongly
coupled vectorlike gauge theories falls into only three different classes,
depending on the gauge group and the representations carried by the fermions.
We test this proposal by studying SU(2), SU(3) and SU(4) lattice gauge theories
with staggered fermions in different irreducible representations. Staggered
fermions away from the continuum limit should, for all complex representations,
still belong to the continuum class of spontaneous symmetry breaking. But for
all real and pseudo-real representations we show that staggered fermions should
belong to incorrect symmetry breaking classes away from the continuum, thus
generalizing previous results. As an unambiguous signal for whether chiral
symmetry breaks, and which breaking pattern it follows, we look at the smallest
Dirac eigenvalue distributions. We find that the patterns of symmetry breaking
are precisely those conjectured.Comment: LaTeX, 17 pages. Typos in eq (17) correcte
Lattice Study of the Massive Schwinger Model with a term under L\"uscher's "Admissibility" condition
We present a numerical study of the massive two-flavor QED in two dimensions
with the gauge action proposed by L\"uscher, which allows only ``admissible''
gauge fields. We find that the admissibility condition does not allow any
topology changes by the local updation in Hybrid Monte Carlo algorithm so that
the configurations in each topological sector can be generated separately. By
developing a new method to sum over different topological sectors, we
investigate vacuum effects. Combining with domain-wall fermion action,
we obtain the fermion mass dependence and dependence of the meson
masses, which are consistent with the analytic results by mass perturbation in
the continuum theory.Comment: 3 pages, Lattice2003(chiral
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