119610987
Asymptotic Completeness, Global Existence and the Infrared Problem for the Maxwell-Dirac Equations
Introduction The nonlinear representation $T$ and spaces of differentiable vectors The asymptotic nonlinear representation Construction of the approximate solution Energy estimates and $L^2-L^\infty$ estimates for the Dirac field Construction of the modified wave operator and its inverse Appendix.
122293708
On a linearization program of non-linear field equations
Abstract The relevance of a recently developed theory of non-linear representations of Lie groups to the problem of linearization of non-linear field equations covariant under the action of a Lie group is discussed. Some basic definitions and results of this theory are then summarized. The article ends with a discussion of the physical meaning, consequences, and further possible developments of the non-linear representation theory.
119567009
Yang-Mills equations are formally linearizable
It is proved, in the framework of a recent theory of non-linear group representations elaborated by the authors, that the non-linear Yang-Mills equations are formally linearizable: there exists a formal non-linear operator which intertwins the non-linear Yang-Mills equations with their free (linear) part.
122524343
A Garding domain for representations of some Hilbert Lie groups
AbstractGiven a Banach representation of a Hilbert Lie group, the Lie algebra 
$$\mathfrak{G}$$
 of which is the closure of the union of an increasing sequence of finite dimensional subalgebras, we construct a Gårding domain on which we differentiate the group representation to a representation of a dense subalgebra of 
$$\mathfrak{G}$$
.
116894284
The cauchy problem for non-linear Klein-Gordon equations
We consider in ℝn+1,n≧2, the non-linear Klein-Gordon equation. We prove for such an equation that there is a neighbourhood of zero in a Hilbert space of initial conditions for which the Cauchy problem has global solutions and on which there is asymptotic completeness. The inverse of the wave operator linearizes the non-linear equation. If, moreover, the equation is manifestly Poincaré covariant then the non-linear representation of the Poincaré Lie algebra, associated with the non-linear Klein-Gordon equation is integrated to a non-linear representation of the Poincaré group on an invariant neighbourhood of zero in the Hilbert space. This representation is linearized by the inverse of the wave operator. The Hilbert space is, in both cases, the closure of the space of the differentiable vectors for the linear representation of the Poincaré group, associated with the Klein-Gordon equation, with respect to a norm defined by the representation of the enveloping algebra.
122293144
WIGHTMAN FORMULATION FOR THE QUANTIZATION OF THE GRAVITATIONAL FIELD.
15382595
Hamiltonian thermodynamics of a Lovelock black hole
We consider the Hamiltonian dynamics and thermodynamics of spherically symmetric spacetimes within a one-parameter family of five-dimensional Lovelock theories. We adopt boundary conditions that make every classical solution part of a black hole exterior, with the spacelike hypersurfaces extending from the horizon bifurcation three-sphere to a timelike boundary with fixed intrinsic metric. The constraints are simplified by a Kuchar ˇ-type canonical transformation, and the theory is reduced to its true dynamical degrees of freedom. After quantization, the trace of the analytically continued Lorentzian time evolution operator is interpreted as the partition function of a thermodynamical canonical ensemble. Whenever the partition function is dominated by a Euclidean black hole solution, the entropy is given by the Lovelock analogue of the Bekenstein-Hawking entropy; in particular, in the low temperature limit the system exhibits a dominant classical solution that has no counterpart in Einstein’s theory. The asymptotically flat space limit of the partition function does not exist. The results indicate qualitative robustness of the thermodynamics of five-dimensional Einstein theory upon the addition of a nontrivial Lovelock term. @S0556-2821~97!03806-X#
10977212
Exotic gauge theories from tensor calculus
We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore, we discuss generalizations of such interactions by adding couplings to gravitational Chern-Simons forms and to fields arising through dimensional reduction. The construction uses an appropriate tensor calculus.
119491620
Supersymmetric Kerr-Anti-de Sitter solutions
We prove the existence of one quarter supersymmetric type IIB configurations that arise as nontrivial scaling solutions of the standard five-dimensional Kerr-anti-de Sitter black holes by the explicit construction of its Killing spinors. This neutral, spinning solution is asymptotic to the static anti-de Sitter space-time with cosmological constant -(1/l{sup 2}), it has two finite equal angular momenta J{sub 1}={+-}J{sub 2}, mass M=(1/l)(|J{sub 1}|+|J{sub 2}|) and a naked singularity. We also address the scaling limit associated with one-half supersymmetric solution with only one angular momentum.
125747217
NEXT, a HPXe TPC for neutrinoless double beta decay searches
The next-generation experiments for neutrinoless double b eta decay searches are a major challenge, since the detectors have to fulfill conflicting requir ements: they have to be very massive and scalable; very sensitive to the signature of the β β processes, and simultaneously impose extremely stringent limits on the copious backgrounds. A high-pressure gaseous Xenon TPC may be the ideal detector f or this purpose: the isotope 136Xe is almost 9% of natural Xenon and enrichment by centrifugati on is a relatively easy technology as demonstrated by the EXO collaboration; the detector can be e xtrapolated to large masses; energy resolution in gas is expected to be at the level of 1% FWHM at Qβ β ; this fact, combined with the very long life of theβ β 2ν mode accounts for negligible backgrounds of intrinsic orig in up to masses of the order of 1 ton. The detector is fully active an d the gas can be continuously re-circulated and purified, which, together with the existe nce of a kinematical signature gives an extra handle against backgrounds. NEXT (Neutrino Experiment with a Xenon TPC) is an on-going pr oject that aims to build a 100 kg HPXe TPC at a pressure of ∼10 bar. The experiment has already been aproved by the scient ifi committee of the Canfranc Underground Laboratory (LSC), in Spain, for the initial R&D phase. The NEXT Collaboration has defined an ambitious roadmap for t he next five years: an initial phase of R&D during 2 years will be used to decide the technolo gy (MicroMegas, GEMs, APDs, PMTs, etc.); in 3 years a first prototype (NEXT-10) will be con structed; followed by NEXT-100 in 5 years. A special grant (Consolider-Ingenio 2010) from t he Ministry of Science of Spain will fund the experiment during this period. The Collaboration i s composed by the leading Spanish groups in experimental neutrino and underground physics. The general ideas behind neutrinoless double beta decay sea rches with a HPXe TPC are discussed in this note.
14309262
A Fermi surface model for large supersymmetric AdS5 black holes
We identify a large family of 1/16 BPS operators in = 4 SYM that qualitatively reproduce the relations between charge, angular momentum and entropy in regular supersymmetric AdS5 black holes when the main contribution to their masses is given by their angular momentum.