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We show that noncommutative gauge theories with arbitrary compact gauge group defined by means of the Seiberg-Witten map have the same one-loop anomalies as their commutative counterparts. This is done in two steps. By explicitly calculating the[...]texto impreso
When quantizing conformal dilaton gravity, there is a conformal anomaly which starts at two-loop order. This anomaly stems from evanescent operators on the divergent parts of the effective action. The general form of the finite counterterm, whic[...]texto impreso
We study the beta functions of the quartic and Yukawa couplings of General Relativity and Unimodular Gravity coupled to the ??4 and Yukawa theories with masses. We show that the General Relativity corrections to those beta functions as obtained [...]texto impreso
The equivalence of the noncommutative U(N) quantum field theories related by the ?-exact Seiberg-Witten maps is, in this paper, proven to all orders in the perturbation theory with respect to the coupling constant. We show that this holds for su[...]texto impreso
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 used to obtain the hybrid Seiberg-Witten map as an expansion, which [...]texto impreso
The symmetries of unimodular gravity are clarified somewhat.texto impreso
We put forward a unimodular N = 1; d = 4 anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter spacet[...]texto impreso
We formulate a unimodular N = 1, d = 4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity trans- formations are constrained and show that the conmutator of two infinitesinal uni[...]texto impreso
U(1) gauge theory on non-commutative Minkowski spacetime in the Feynman-'t Hooft background gauge is studied. In particular, UV divergences and non-commutative IR divergent contributions to the two, three and four-point functions are explicitly [...]texto impreso
Álvarez, Enrique ; González Martín, Sergio ; Herrero Valea, Mario ; Pérez Martín, Carmelo | Springer | 2015-08The problem of the comological constant appears in a new light in Unimodular Gravity. In particular, the zero momentum piece of the potential (that is, the constant piece independent of the matter fields) does not automatically produce a cosmolo[...]texto impreso
We show that in the perturbative regime defined by the coupling constant, the ?-exact Seiberg-Witten map applied to the noncommutative U(N) Yang-Mills — with or without Supersymmetry — gives an ordinary gauge theory which is, at the quantum leve[...]texto impreso
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)_(?) × U(1)_(??) case, we compute all one-loop 1PI two and three point functions in the[...]texto impreso
We compute the lowest order gravitational UV divergent radiative corrections to the S matrix element of the fermion + fermion ? fermion + fermion scattering process in the massive Yukawa theory, coupled either to Unimodular Gravity or to General[...]texto impreso
We compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) N = 1, 2, 4 super Yang-Mills (SYM) U(1) theories defined by the means of the ?-exact Seiberg-Witten (SW) map in the Wess-Zumino gauge. Then we extract th[...]texto impreso
We work out the one-loop and order ? 2m2 ? UV divergent contributions, coming from Unimodular Gravity and General Relativity, to the S matrix element of the scattering process ?+? ? ?+? in a ??4 theory with mass m? . We show that both Unimodular[...]
