arXiv subjects

Igor Pesando

Publications and source records attributed to Igor Pesando.

42 records · Page 3Linked to original sources

arXiv1998

A detailed case study of the rigid limit in Special Kähler geometry using K3

This is a résumé of an extensive investigation of some examples in which one obtains the rigid limit of N=2 supergravity by means of an expansion around singular points in the moduli space of a Calabi-Yau 3-fold. We make extensive use of the K3 fibration of the Calabi-Yau manifolds which are considered. At the end the fibration parameter becomes the coordinate of the Riemann surface whose moduli space realises rigid N=2 supersymmetry.

hep-th↗

arXiv1995

Exact Results for the Supersymmetric $G_2$ Gauge Theories

We study the $N=1$ supersymmetric $G_2$ gauge theories with $N_f$ flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional mesons, non trivial IR fixed points.

hep-th↗

arXiv1995

The generalized Gross-Neveu model on the light cone

We investigate the generalized Gross-Neveu model using the discretized light cone quantization and we find that the vacuum of the bare theory is {\sl non} trivial in presence of vectorial current coupling when the simplest and most natural form of quantum constraints is used. Nevertheless the vacuum of the renormalized theory is trivial. In the thermodynamic the Bethe-Salpiter equations which are obtained contain all the terms needed to make them finite.

hep-th↗

arXiv1995

The Gross-Neveu model on the light cone

We consider the (massive) Gross-Neveu model using the light cone quantization where we solve the constraints explicitly. We show that the vacuum is trivial and that the quantization fails when $m=0$. We discuss how the running coupling constant emerges as a pure normal ordering effect in this context and the bound state equation.

hep-th↗

arXiv1993

Vector Induced Lattice Gauge Theories

We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We argue that these models are critical at $D_{cr}=6$ for $N\ne\infty$ and they are {\sl not} critical for $N=\infty$.

hep-th↗

arXiv1992

Polymers and Topological Field Theory: A 2 Loop Computation

Within the Quantum Action Principle framework we show the perturbative renormalizability of previously proposed topological lagrangian à la Witten-Fujikawa describing polymers, then we perform a 2 loop computation. The theory turns out to have the same predictive power of De Gennes theory, even though its running coupling constants exhibit a very peculiar behaviour. Moreover we argue that the theory presents two phases , a topological and a non topological one.

hep-th↗