We apply the decoherence formalism to an interacting scalar field theory. Inthe spirit of the decoherence literature, we consider a "system field" and an"environment field" that interact via a cubic coupling. We solve for thepropagator of the system field, where

For two families of four-dimensional off-shell N = 2 supersymmetric nonlinearsigma-models constructed originally in projective superspace, we develop theirformulation in terms of N = 1 chiral superfields. Specifically, these theoriesare: (i) sigma-models on cotangent bundles T*M of arbitrary real analyticKaehler

kappa$-Minkowski spacetime is of interest due to its relation to quantumgravity and doubly special relativity. We study the low energy effects of$\kappa$-deformation by constructing a Dirac equation on $\kappa$-Minkowskispacetime. We show that the $\kappa$-deformation breaks the charge conjugationinvariance but preserves

We introduce new models of $f(R)$ theories of gravity that are generalizationof Ho\v{r}ava-Lifshitz gravity.

We study dispersion relations of hydrodynamic waves of hot N=4 SYM plasma atstrong coupling with a finite U(1) R-charge chemical potential via holography.We first provide complete equations of motion of linearized fluctuations out ofa charged AdS black-hole background according to

We present a comprehensive, nonperturbative analytical method to investigatethe dynamics of time-dependent oscillating scalar field configurations. Themethod is applied to oscillons in a double well Klein-Gordon model in two andthree spatial dimensions, yielding high accuracy results in thecharacterization of all

For the electromagnetic interaction of two particles the relativistic quantummechanics equations are proposed. These equations are solved for the case whenone particle has a small mass and moves freely. The initial wave functions aresupposed to be concentrated at the coordinates

We give a full list of known supersymmetric quantum field theories related bythe Seiberg duality conjectures for the SU(N), SP(2N) and G_2 gauge groups.Many of the presented dualities are new, not considered earlier in theliterature. For all these theories we

Ten attempts to prove the Generalized Second Law of Thermodyanmics (GSL) aredescribed and critiqued. Each proof provides valuable insights which should beuseful for constructing future, more complete proofs. Rather than merelysummarizing previous research, this review offers new perspectives, andstrategies for

Using the recently found by G. Horowitz and M. Roberts ()numerical model of the ground state of holographic superconductors (at zerotemperature), we calculate the conductivity for such models. The universalrelation connecting conductivity with the reflection coefficient was used forfinding the

In this paper we study the extension of Morita equivalence of noncommutativetori to the supersymmetric case. The structure of the symmetry group yieldingMorita equivalence appears to be intact but its parameter field becomessupersymmetrized having both body and soul parts. Our

Within the context of local type IIB models arising from branes at toricCalabi-Yau singularities, we present a systematic way of joining any number ofdesired sectors into a consistent theory. The different sectors interact viamassive messengers with masses controlled by tunable

We investigate the construction of black holes and black strings in vacuumplane wave spacetimes using the method of matched asymptotic expansions. Wefind solutions of the linearised equations of motion in the asymptotic regionfor a general source on a plane wave

Recent analyses suggest that in TeV scales that will be made accessible atthe LHC copious amounts of color scalar parton bound states may be produced.Would this be the case, the scalars would leave long enough to interact andthis could lead

The Polyakov-quark-meson (PQM) model, which combines chiral as well asdeconfinement aspects of strongly interacting matter is introduced for threelight quark flavors. An analysis of the chiral and deconfinement phasetransition of the model and its thermodynamics at finite temperatures is given.Three

Many extensions of the standard model predict the existence of hidden sectorsthat may contain unbroken abelian gauge groups. We argue that in the presenceof quantum decoherence photons may convert into hidden photons on sufficientlylong time scales and show that this

In , we introduced a variant of non-commutativeDonaldson-Thomas theory in a combinatorial way, which is related withtopological vertex by a wall-crossing phenomenon. In this paper, we (1) providean alternative definition in a geometric way, (2) show that the two definitionsagree

The Copenhagen interpretation of quantum mechanics assumes the existence ofthe classical deterministic Newtonian world. We argue that in fact the Newtondeterminism in classical world does not hold and in classical mechanics thereis fundamental and irreducible randomness. The classical Newtonian trajectorydoes

Dynamical gluon mass generation has been traditionally plagued with seagulldivergences, and all regularization procedures proposed over the years yieldfinite but scheme-dependent gluon masses. In this work we show how suchdivergences can be eliminated completely by virtue of a characteristicidentity, valid

Let Uq(ghat) be the quantum affine algebra associated to a simply-lacedsimple Lie algebra g. We examine the relationship between Dorey's rule, whichis a geometrical statement about Coxeter orbits of g-weights, and the structureof q-characters of fundamental representations V_{i,a} of Uq(ghat).