129 citations · 555 across the 20 of their papers we have counts for
20 papers
The hybrid Seiberg-Witten map, its -exact expansion and the antifield formalism
C. P. Martin, David G. Navarro
We deduce an evolution equation for an arbitrary hybrid Seiberg-Witten map for compact gauge groups by using the antifield formalism. We show how this evolution equation can be use…
SO(10) GUTs with large tensor representations on Noncommutative Space-time
C. P. Martin
We construct a noncommutative version of a general renormalizable SO(10) GUT with Higgses in the 210, and 120 irreps of SO(10) and a Peccei-Quinn symmetry.…
Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
C. P. Martin
We discuss how to obtain θ-exact Seiberg-Witten maps by expanding in the gauge coupling constant or, equivalently, in the number of ordinary gauge fields. We do so for arbitrary co…
Renormalisability of noncommutative GUT inspired field theories with anomaly safe groups
C. P. Martin, C. Tamarit
We consider noncommutative GUT inspired field theories formulated within the enveloping-algebra formalism for anomaly safe compact simple gauge groups. Our theories have only gauge…
Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
C. P. Martin, C. Tamarit
Classically, the dual under the Seiberg-Witten map of noncommutative U(N), {\cal N}=1 super Yang-Mills theory is a field theory with ordinary gauge symmetry whose fields carry, how…
Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions
C. P. Martin, C. Tamarit
We show at one-loop and first order in the noncommutativity parameters that in any noncommutative GUT inspired theory the total contribution to the fermionic four point functions c…
The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
C. P. Martin, D. Sanchez-Ruiz, C. Tamarit
We discuss the renormalizability of the noncommutative U(1)Higgs-Kibble model formulated within the enveloping-algebra approach. We consider both the phase of the model with unbrok…
Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups
C. P. Martin, C. Tamarit
For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix hθ^{μν}, we construct smooth monopole --and, some two-…
The U(1)A anomaly in noncommutative SU(N) theories
C. P. Martin, C. Tamarit
We work out the one-loop anomaly for noncommutative SU(N) gauge theories up to second order in the noncommutative parameter . We set and conclude that t…
The covariant form of the gauge anomaly on noncommutative R2n
C. P. Martin
The covariant form of the non-Abelian gauge anomaly on noncommutative R2n is computed for U(N) groups. Its origin and properties are analyzed. Its connection with the consistent fo…
The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
C. P. Martin, D. Sanchez-Ruiz
We show that U(N) Yang-Mills theory on noncommutative Minkowski space-time can be renormalized, in a BRS invariant way, at the one-loop level, by multiplicative dimensional renorma…
The UV and IR Origin of Nonabelian Chiral Gauge Anomalies on Noncommutative Minkowski Space-time
C. P. Martin
We discuss both the UV and IR origin of the one-loop triangle gauge anomalies for noncommutative nonabelian chiral gauge theories with fundamental, adjoint and bi-fundamental fermi…
Chiral Gauge Anomalies on Noncommutative R^4
J. M. Gracia-Bondia, C. P. Martin
We discuss the noncommutative counterparts of chiral gauge theories and compute the associated anomalies.
The Pole Part of the 1PI Four-Point Function in Light-Cone Gauge Yang-Mills Theory
G. Leibbrandt, A. Richardson, C. P. Martin
The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent c…
On the gauge dependence of the topological sigma model beta functions
Luis Alvarez-Consul, C. P. Martin
We compute the dependence on the classical action "gauge" parameters of the beta functions of the standard topological sigma model in flat space. We thus show that their value is a…
The Standard Model as a noncommutative geometry: the low energy regime
C. P. Martin, Jose M. Gracia-Bondia, Joseph C. Varilly
We render a thorough, physicist's account of the formulation of the Standard Model (SM) of particle physics within the framework of noncommutative differential geometry (NCG). We w…
Anomaly Cancellation and gauge group of the standard model in NCG
Enrique Alvarez, J. M. Gracia-Bondía, C. P. Martín
It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes'…
A Renormalization Group Analysis of the NCG constraints $m_{top} = 2\,m_W}$,
E. Alvarez, J. M. Gracia-Bondía, C. P. Martín
We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely a…
Abelian Chern-Simons theory as the strong large-mass limit of topologically massive abelian gauge theory: the Wilson loop
G. Giavarini, C. P. Martin, F. Ruiz Ruiz
We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in $\RR^3$ can be defined so that its large-mass limit be t…
Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections
E. Alvarez, J. M. Gracia-Bondia, C. P. Martin
We have investigated the standard one-loop quantum corrections for a particularly simple non-commutative geometry model containing fermions interacting with a unique abelian gauge…