559 research outputs found
Second quantization approach to composite hadron interactions in quark models
Starting from the Fock space representation of hadron bound states in a quark
model, a change of representation is implemented by a unitary transformation
such that the composite hadrons are redescribed by elementary-particle field
operators. Application of the unitary transformation to the microscopic quark
Hamiltonian gives rise to effective hadron-hadron, hadron-quark, and
quark-quark Hamiltonians. An effective baryon Hamiltonian is derived using a
simple quark model. The baryon Hamiltonian is free of the post-prior
discrepancy which usually plagues composite-particle effective interactions.Comment: Correction on titl
On the realization of Symmetries in Quantum Mechanics
The aim of this paper is to give a simple, geometric proof of Wigner's
theorem on the realization of symmetries in quantum mechanics that clarifies
its relation to projective geometry. Although several proofs exist already, it
seems that the relevance of Wigner's theorem is not fully appreciated in
general. It is Wigner's theorem which allows the use of linear realizations of
symmetries and therefore guarantees that, in the end, quantum theory stays a
linear theory. In the present paper, we take a strictly geometrical point of
view in order to prove this theorem. It becomes apparent that Wigner's theorem
is nothing else but a corollary of the fundamental theorem of projective
geometry. In this sense, the proof presented here is simple, transparent and
therefore accessible even to elementary treatments in quantum mechanics.Comment: 8 page
Electromagnetic corrections in the anomaly sector
Chiral perturbation theory in the anomaly sector for is extended to
include dynamical photons, thereby allowing a complete treatment of isospin
breaking. A minimal set of independent chiral lagrangian terms is determined
and the divergence structure is worked out. There are contributions from
irreducible and also from reducible one-loop graphs, a feature of ChPT at order
larger than four. The generating functional is non-anomalous at order ,
but not necessarily at higher order in . Practical applications to
and to the amplitudes are considered. In
the latter case, a complete discussion of the corrections beyond current
algebra is presented including quark mass as well as electromagnetic effects.Comment: 26 pages, 3 figure
Electromagnetic field at Finite Temperature: A first order approach
In this work we study the electromagnetic field at Finite Temperature via the
massless DKP formalism. The constraint analysis is performed and the partition
function for the theory is constructed and computed. When it is specialized to
the spin 1 sector we obtain the well-known result for the thermodynamic
equilibrium of the electromagnetic field.Comment: 6 pages, Latex2e, title changed and minimal modification
Cosmic acceleration from second order gauge gravity
We construct a phenomenological theory of gravitation based on a second order
gauge formulation for the Lorentz group. The model presents a long-range
modification for the gravitational field leading to a cosmological model
provided with an accelerated expansion at recent times. We estimate the model
parameters using observational data and verify that our estimative for the age
of the Universe is of the same magnitude than the one predicted by the standard
model. The transition from the decelerated expansion regime to the accelerated
one occurs recently (at ).Comment: RevTex4 15 pages, 1 figure. Accepted for publication in Astrophysics
& Space Scienc
Hidden variables with nonlocal time
To relax the apparent tension between nonlocal hidden variables and
relativity, we propose that the observable proper time is not the same quantity
as the usual proper-time parameter appearing in local relativistic equations.
Instead, the two proper times are related by a nonlocal rescaling parameter
proportional to |psi|^2, so that they coincide in the classical limit. In this
way particle trajectories may obey local relativistic equations of motion in a
manner consistent with the appearance of nonlocal quantum correlations. To
illustrate the main idea, we first present two simple toy models of local
particle trajectories with nonlocal time, which reproduce some nonlocal quantum
phenomena. After that, we present a realistic theory with a capacity to
reproduce all predictions of quantum theory.Comment: 16 pages, accepted for publication in Found. Phys., misprints
corrected, references update
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
Nucleation versus Spinodal decomposition in a first order quark hadron phase transition
We investigate the scenario of homogeneous nucleation for a first order
quark-hadron phase transition in a rapidly expanding background of quark gluon
plasma. Using an improved preexponential factor for homogeneous nucleation
rate, we solve a set of coupled equations to study the hadronization and the
hydrodynamical evolution of the matter. It is found that significant
supercooling is possible before hadronization begins. This study also suggests
that spinodal decomposition competes with nucleation and may provide an
alternative mechanism for phase conversion particularly if the transition is
strong enough and the medium is nonviscous. For weak enough transition, the
phase conversion may still proceed via homogeneous nucleation.Comment: LaTeX, 10 pages with 7 Postscript figures, more discussions and
referencese added, typos correcte
Renormalization-Group Improved Effective Potential for Interacting Theories with Several Mass Scales in Curved Spacetime
The renormalization group (RG) is used in order to obtain the RG improved
effective potential in curved spacetime. This potential is explicitly
calculated for the Yukawa model and for scalar electrodynamics, i.e. theories
with several (namely, more than one) mass scales, in a space of constant
curvature. Using the -theory on a general curved spacetime
as an example, we show how it is possible to find the RG improved effective
Lagrangian in curved spacetime. As specific applications, we discuss the
possibility of curvature induced phase transitions in the Yukawa model and the
effective equations (back-reaction problem) for the -theory
on a De Sitter background.Comment: 18 pages, LaTeX file, UB-ECM-PF 93/2
QCD vacuum structure in strong magnetic fields
We study the response of the QCD vacuum to strong magnetic fields, using a
potential model for the quark-antiquark interaction. We find that production of
spin-polarized u-ubar pairs is energetically favorable for fields B > B_crit
\sim 10 GeV^2. We contrast the resulting u-ubar condensate with the quark
condensate which is present at zero magnetic field, and we estimate the
corresponding magnetization as a function of B.Comment: 16 pages, LaTeX, 3 eps figures. v2: references added. v3: fixed typ
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