47 citations · 120 across the 20 of their papers we have counts for
10 papers · 1 filter
Euclidean Quantum Field Formulation of p-Adic open string amplitudes
A. R. Fuquen-Tibatá, H. García-Compeán, W. A. Zúñiga-Galindo
We study in a rigorous mathematical way p-adic quantum field theories whose N-point amplitudes are the expectation of products of vertex operators. We show that this type of amplit…
Lorentzian Vacuum Transitions for Anisotropic Universes
H. García-Compeán, D. Mata-Pacheco
The vacuum transition probabilities for anisotropic universes in the presence of a scalar field potential in the Wentzel-Kramers-Brillouin approximation are studied. We follow the…
Local Zeta Functions and Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, H. García-Compeán, Edgar Y. López +1
This article is a survey of our recent work on the connections between Koba-Nielsen amplitudes and local zeta functions (in the sense of Gel'fand, Weil, Igusa, Sato, Bernstein, Den…
New heavenly double copies
Erick Chacón, Hugo García-Compeán, Andres Luna +2
The double copy relates scattering amplitudes and classical solutions in Yang-Mills theory, gravity, and related field theories. Previous work has shown that this has an explicit r…
Vassiliev Invariants for Flows Via Chern-Simons Perturbation Theory
J. de-la-Cruz-Moreno, H. García-Compeán, E. López
The perturbative expansion of Chern-Simons gauge theory leads to invariants of knots and links, the finite type invariants or Vassiliev invariants. It has been proven that at any o…
p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
H. García-Compeán, Edgar Y. López, W. A. Zúñiga-Galindo
We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we us…
On the topological and crosscap entropies in non-oriented RCFTs
Hugo García-Compeán, Norma Quiroz
We establish a relation between the boundary and the topological entropies for the conformal minimal models in some of the simplest models of the unitary A-A series. We show that i…
Towards Noncommutative Linking Numbers Via the Seiberg-Witten Map
H. García-Compeán, O. Obregón, R. Santos-Silva
In the present work some geometric and topological implications of noncommutative Wilson loops are explored via the Seiberg-Witten map. In the abelian Chern-Simons theory on a thre…
Principal Bundles, Connections and BRST Cohomology
H. García-Compeán, J. M. López-Romero, M. A. Rodríguez-Segura +1
We review the elementary theory of gauge fields and the Becchi-Rouet-Stora- Tyutin symmetry in the context of differential geometry. We emphasize the topological nature of this sym…
A Note on Weak -Spaces, Heavenly Equations and their Evolution Weak Heavenly Equations
J. F. Plebański, H. García-Compeán
\noindent It is find a non-linear partial differential equation which we show contains the first Heavenly equation of Self-dual gravity and generalize the second one. This differen…