97 citations · 473 across the 26 of their papers we have counts for
26 papers
The one-loop unimodular graviton propagator in any dimension
Jesus Anero, Carmelo P. Martin, Eduardo Velasco-Aja
For unimodular gravity, we work out, by using dimensional regularization, the complete one-loop correction to the graviton propagator in any space-time dimension. The computation i…
The quantum dynamics of Lagrange multipliers
Enrique Álvarez, Jesús Anero, Carmelo P. Martin +1
When implementing a non-linear constraint in quantum field theory by means of a Lagrange multiplier, , it is often the case that quantum dynamics induce quadratic and even hi…
Unimodular gravity and the gauge/gravity duality
Jesus Anero, Carmelo P. Martin
Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work o…
UV/IR mixing in Noncommutative SU(N) Yang-Mills theory
Carmelo P. Martin, Josip Trampetić, Jiangyang You
We show that there are one-loop IR singularities arising from UV/IR mixing in noncommutative SU(N) Yang-Mills theory defined by means of the -exact Seiberg-Witten map. This is i…
A note on unimodular AdS supergravity
Jesus Anero, Carmelo P. Martin, Raquel Santos-Garcia
We put forward a unimodular anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally…
Off-shell unimodular N=1, d=4 supergravity
Jesus Anero, Carmelo P. Martin, Raquel Santos-Garcia
We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constr…
Scattering of fermions in the Yukawa theory coupled to Unimodular Gravity
Sergio Gonzalez-Martin, Carmelo P. Martin
We compute the lowest order gravitational UV divergent radiative corrections to the S matrix element of the scattering process in t…
Unimodular Gravity and General Relativity UV divergent contributions to the scattering of massive scalar particles
Sergio González-Martín, Carmelo P. Martin
We work out the one-loop and order UV divergent contributions, coming from Unimodular Gravity and General Relativity, to the S matrix element of the scattering process…
Quantum noncommutative ABJM theory: first steps
Carmelo P. Martin, Josip Trampetic, Jiangyang You
We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N=6 supersymmetric. For the U(1)_κ x U(1)_{-κ} case, we…
Do the gravitational corrections to the beta functions of the quartic and Yukawa couplings have an intrinsic physical meaning?
S. Gonzalez-Martin, C. P. Martin
We study the beta functions of the quartic and Yukawa couplings of General Relativity and Unimodular Gravity coupled to the and Yukawa theories with masses. We show that the…
Unimodular Gravity and the lepton anomalous magnetic moment at one-loop
Carmelo P. Martin
We work out the one-loop contribution to the lepton anomalous magnetic moment coming from Unimodular Gravity. We use Dimensional Regularization and Dimensional Reduction to carry o…
Equivalence and/or quantum duality of the non/supersymmetric noncommutative field theories related by the theta-exact Seiberg-Witten map
Raul Horvat, Carmelo P. Martin, Josip Trampetic +1
In this article we expound a discovery of the quantum equivalence/duality of U(N) noncommutative quantum field theories (NC QFT) related by the theta-exact Seiberg-Witten (SW) maps…
Quantum duality under the theta-exact Seiberg-Witten map
Carmelo P. Martin, Josip Trampetic, Jiangyang You
We show that in the perturbative regime defined by the coupling constant, the theta-exact Seiberg-Witten map applied to noncommutative U(N) Yang-Mills --with or without Supersymmet…
Equivalence of quantum field theories related by the theta-exact Seiberg-Witten map
Carmelo P. Martin, Josip Trampetic, Jiangyang You
The equivalence of the noncommutative U(N) quantum field theories related by the theta-exact Seiberg-Witten maps is in this letter proven to all orders in the perturbation theory w…
Unimodular Trees versus Einstein Trees
Enrique Alvarez, Sergio Gonzalez-Martin, Carmelo P. Martin
The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide wit…
Super Yang-Mills and theta-exact Seiberg-Witten map: Absence of quadratic noncommutative IR divergences
Carmelo P. Martin, Josip Trampetic, Jiangyang You
We compute the one-loop 1PI contributions to all the propagators of the noncommutative N=1, 2, 4 super Yang-Mills (SYM) U(1) theories defined by the means of the theta-exact Seiber…
Quantum Corrections to Unimodular Gravity
Enrique Álvarez, Sergio González-Martín, Mario Herrero-Valea +1
The problem of the cosmological constant appears in a new light in Unimodular Gravity. In particular, the zero momentum piece of the potential (that is, the constant piece independ…
Conformal and non Conformal Dilaton Gravity
Enrique Alvarez, Mario Herrero-Valea, Míriam Herrero-Valea +1
The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the {\em broken phase}. For a particular value of the coupli…
The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
C. P. Martin
We construct noncommutative versions of both the minimal and the new minimal supersymmetric Grand Unified Theories. The enveloping-algebra formalism is used to carry out such const…
Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
C. P. Martin, C. Tamarit
For commutative Euclidean time, we study the existence of field configurations that {\it a)} are formal power series expansions in $hθ^{\m\n}$, {\it b)} go to ordinary (anti-)insta…
The Gauge Anomaly and the Seiberg-Witten Map
C. P. Martin
The consistent form of the gauge anomaly is worked out at first order in for the noncommutative three-point function of the ordinary gauge field of certain noncommutative chira…
Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)
C. P. Martin, F. Ruiz Ruiz
U(1) gauge theory on non-commutative Minkowski space-time in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contri…
Action principles, restoration of BRS symmetry and the renormalization group equation for chiral non-Abelian gauge theories in dimensional renormalization with a non-anticommuting
C. P. Martin, D. Sanchez-Ruiz
The one-loop renormalization of a general chiral gauge theory without scalar and Majorana fields is fully worked out within Breitenlohner and Maison dimensional renormalization sch…
Unitarity violation in non-abelian Pauli-Villars regularization
J. H. Leon, C. P. Martin, F. Ruiz Ruiz
We regularize QCD using the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Slavnov. It is known that for pure Yang-Mills theory the Pauli-Vi…