3,486 research outputs found
Renormalization trasformations of the 4D BFYM theory
We study the most general renormalization transformations for the first-order
formulation of the Yang-Mills theory. We analyze, in particular, the trivial
sector of the BRST cohomology of two possible formulations of the model: the
standard one and the extended one. The latter is a promising starting point for
the interpretation of the Yang-Mills theory as a deformation of the topological
BF theory. This work is a necessary preliminary step towards any perturbative
calculation, and completes some recently obtained results.Comment: 12 pages, Late
Social Learning Theory and Digital Piracy: Explaining Uploading Behaviors of Digital Pirates
Digital piracy has received significant attention in criminological research but almost no studies have explored illegal uploading and how it may differ from illegal downloading. It is important to examine what theories can explain illegal uploading behaviors and their related factors to develop more effective policies to address digital piracy. This dissertation examined whether Akers’ (1998) social learning theory could explain engagement in digital piracy, both illegal downloading and uploading behavior. Additionally, this research examined the relationship between reciprocity and digital piracy. Questionnaires were administered to 398 university students and 315 visitors to several online communities using a combination of random and nonrandom sampling techniques. Confirmatory factor analysis and a series of structural equation models were used for analysis. Social learning theory was modeled as a second-order latent factor with latent factors for reciprocity and both outcomes while controlling for multiple covariates. Social learning theory was positively related to self-reported illegal downloading behavior and self-reported illegal uploading behavior. Perceptions of reciprocity had a positive direct effect on illegal uploading behavior but did not have a significant direct effect on illegal downloading behavior. Perceptions of reciprocity partially mediated the relationship between social learning and illegal uploading behavior. Self-control was not related to illegal downloading and uploading behaviors, but did have significant indirect effects through social learning. The main contributions of this dissertation were the application of social learning theory to explain illegal uploading and the empirical evidence supporting reciprocity. Possible directions for future research and policy implications are discussed
Approach to a rational rotation number in a piecewise isometric system
We study a parametric family of piecewise rotations of the torus, in the
limit in which the rotation number approaches the rational value 1/4. There is
a region of positive measure where the discontinuity set becomes dense in the
limit; we prove that in this region the area occupied by stable periodic orbits
remains positive. The main device is the construction of an induced map on a
domain with vanishing measure; this map is the product of two involutions, and
each involution preserves all its atoms. Dynamically, the composition of these
involutions represents linking together two sector maps; this dynamical system
features an orderly array of stable periodic orbits having a smooth parameter
dependence, plus irregular contributions which become negligible in the limit.Comment: LaTeX, 57 pages with 13 figure
Axial Anomaly from the BPHZ regularized BV master equation
A BPHZ renormalized form for the master equation of the field antifiled (or
BV) quantization has recently been proposed by De Jonghe, Paris and Troost.
This framework was shown to be very powerful in calculating gauge anomalies. We
show here that this equation can also be applied in order to calculate a global
anomaly (anomalous divergence of a classically conserved Noether current),
considering the case of QED. This way, the fundamental result about the
anomalous contribution to the Axial Ward identity in standard QED (where there
is no gauge anomaly) is reproduced in this BPHZ regularized BV framework.Comment: 10 pages, Latex, minor changes in the reference
Gauge dependence of effective action and renormalization group functions in effective gauge theories
The Caswell-Wilczek analysis on the gauge dependence of the effective action
and the renormalization group functions in Yang-Mills theories is generalized
to generic, possibly power counting non renormalizable gauge theories. It is
shown that the physical coupling constants of the classical theory can be
redefined by gauge parameter dependent contributions of higher orders in
in such a way that the effective action depends trivially on the gauge
parameters, while suitably defined physical beta functions do not depend on
those parameters.Comment: 13 pages Latex file, additional comments in section
Geometric representation of interval exchange maps over algebraic number fields
We consider the restriction of interval exchange transformations to algebraic
number fields, which leads to maps on lattices. We characterize
renormalizability arithmetically, and study its relationships with a
geometrical quantity that we call the drift vector. We exhibit some examples of
renormalizable interval exchange maps with zero and non-zero drift vector, and
carry out some investigations of their properties. In particular, we look for
evidence of the finite decomposition property: each lattice is the union of
finitely many orbits.Comment: 34 pages, 8 postscript figure
Higher-order non-symmetric counterterms in pure Yang-Mills theory
We analyze the restoration of the Slavnov-Taylor (ST) identities for pure
massless Yang-Mills theory in the Landau gauge within the BPHZL renormalization
scheme with IR regulator. We obtain the most general form of the action-like
part of the symmetric regularized action, obeying the relevant ST identities
and all other relevant symmetries of the model, to all orders in the loop
expansion. We also give a cohomological characterization of the fulfillment of
BPHZL IR power-counting criterion, guaranteeing the existence of the limit
where the IR regulator goes to zero. The technique analyzed in this paper is
needed in the study of the restoration of the ST identities for those models,
like the MSSM, where massless particles are present and no invariant
regularization scheme is known to preserve the full set of ST identities of the
theory.Comment: Final version published in the journa
THE DYSON-SCHWINGER EQUATION FOR A MODEL WITH INSTANTONS - THE SCHWINGER MODEL
Using the exact path integral solution of the Schwinger model -- a model
where instantons are present -- the Dyson-Schwinger equation is shown to hold
by explicit computation. It turns out that the Dyson-Schwinger equation
separately holds for every instanton sector. This is due to Theta-invariance of
the Schwinger model.Comment: LATEX file 11 pages, no figure
- …