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20 papers · 2 filters
Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in Curved Spacetime with Non-Trivial Topology
E. Elizalde, S. Leseduarte, S. D. Odintsov
We discuss the phase structure (in the -expansion) of the Nambu-Jona-Lasinio model in curved spacetime with non-trivial topology . The evaluation…
Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology
E. Elizalde, S. D. Odintsov, A. Romeo
The formalism of Greensite for treating the spacetime signature as a dynamical degree of freedom induced by quantum fields is considered for spacetimes with nontrivial topology of…
Renormalization-Group Improved Effective Lagrangian for Interacting Theories in Curved Spacetime
E. Elizalde, S. D. Odintsov
A method for finding the renormalization group (RG) improved effective Lagrangian for a massive interacting field theory in curved spacetime is presented. As a particular example,…
One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity
E. Elizalde, S. Naftulin, S. D. Odintsov
A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action…
Manifestations of Space-Time Multidimensionality in Scattering of Scalar Particles
A. P. Demichev, Yu. A. Kubyshin, J. I. Pérez Cadenas
We analyze a possibility of experimental detection of the contribution of the Kaluza-Klein tower of heavy particles to scattering cross-section in a six-dimensional scalar model wi…
Gradient Flows from an Approximation to the Exact Renormalization Group
Peter E. Haagensen, Yuri Kubyshin, Jose I. Latorre +1
Through appropriate projections of an exact renormalization group equation, we study fixed points, critical exponents and nontrivial renormalization group flows in scalar field the…
Perturbative Renormalization in Quantum Mechanics
Cristina Manuel, Rolf Tarrach
Some quantum mechanical potentials, singular at short distances, lead to ultraviolet divergences when used in perturbation theory. Exactly as in quantum field theories, but much si…
Particle Mechanics Models with W-symmetries
J. Gomis, J. Herrero, K. Kamimura +1
We introduce a particle mechanics model with Sp() gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models whi…
Covariant Effective Action and One-Loop Renormalization of 2D Dilaton Gravity with Fermionic Matter
E. Elizalde, S. Naftulin, S. D. Odintsov
Two dimensional dilaton gravity interacting with a four-fermion model and scalars is investigated, all the coefficients of the Lagrangian being arbitrary functions of the dilaton f…
Regularization Methods in Chiral Perturbation Theory
D. Espriu, J. Matias
Chiral lagrangians describing the interactions of Goldstone bosons in a theory possessing spontaneous symmetry breaking are effective, non-renormalizable field theories in four dim…
Mellin-Barnes Representation for the Genus-g Finite Temperature String Theory
A. A. Bytsenko, E. Elizalde, S. D. Odintsov +1
The Mellin-Barnes representation for the free energy of the genus- string is constructed. It is shown that the interactions of the open bosonic string do not modify the critical…
Thirring Model with Non-conserved Chiral Charge
D. C. Cabra, E. F. Moreno, C. M. Naón
We study the Abelian Thirring Model when the fermionic fields have non-conserved chiral charge: . One of the main features we find for this model is the dependence…
The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion
A. A. Bytsenko, E. Elizalde, S. D. Odintsov
The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding…
The Renormalization Structure and Quantum Equivalence of 2D Dilaton Gravities
E. Elizalde, S. Naftulin, S. D. Odintsov
The one-loop effective action corresponding the general model of dilaton gravity given by the Lagrangian $L=-\sqrt{g} \left[ \frac{1}{2}Z(Φ) g^{μν} \partial_μΦ\partial_νΦ+ C(Φ) R +…
Partition Functions for the Rigid String and Membrane at Any Temperature
E. Elizalde, S. Leseduarte, S. D. Odintsov
Exact expressions for the partition functions of the rigid string and membrane at any temperature are obtained in terms of hypergeometric functions. By using zeta function regulari…
2D Dilaton-Maxwell Gravity as a Fixed Point of the Renormalization Group
E. Elizalde, S. Naftulin, S. D. Odintsov
A general model of dialton-Maxwell gravity in two dimensions is investigated. The corresponding one-loop effective action and the generalized -functions are obtained. A set of m…
Zero-curvature condition in two dimensions. Relativistic particle models and finite \W-transformations
J. Gomis, J. Herrero, K. Kamimura +1
A relation between an gauge particle model and the zero-curvature condition in a two-dimensional gauge theory is presented. For the case we construct finite \W-tra…
Systematic Differential Renormalization to All Orders
J. I. Latorre, C. Manuel, X. Vilasis-Cardona
We present a systematic implementation of differential renormalization to all orders in perturbation theory. The method is applied to individual Feynamn graphs written in coordinat…
Renormalization-group improved effective potential for gauge theories in curved spacetime
E. Elizalde, S. D. Odintsov
The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's appro…
Convenient Versus Unique Effective Action Formalism in 2D Dilaton-Maxwell Quantum Gravity
E. Elizalde, S. Naftulin, S. D. Odintsov
The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a…