We study the ($2+1$)-dimensional Dirac equation in a homogeneous magnetic field (relativistic Landau problem) within minimal length or generalized uncertainty principle scenario. derive exact solutions for given explicit representation of and provide expressions wave functions momentum representation. find that case, degeneracy states is modified, there are do not exist ordinary quantum mechanics limit ($\ensuremath{\beta}\ensuremath{\rightarrow}0$). also discuss massless which may...

We study the corrections to Casimir effect in classical geometry of two parallel metallic plates, separated by a distance $a$, due presence minimal length ($\hbar\sqrt{(\beta)}$) arising from quantum mechanical models based on Generalized Uncertainty Principle (GUP). The approach for quantization electromagnetic field is projecting onto maximally localized states few specific GUP and was previously developed Casimir-Polder effect. For each model we compute lowest order correction energy find...

Conventional general relativity supplies the notion of a vacuum tension and thus maximum force $F_{max}=c^4/4G\approx\ 3\times 10^{43}$ Newtons, that is realized for black hole. In conjunction with Wilson area rule, we are led to surface confinement mass hole analogous quarks. The central result our paper PeV scale protons exist on Kerr residing at galactic center in concert HAWC Collaboration PeVatron center.

The lepton number violating signal of like-sign dileptons (LSD), $p\stackrel{\ensuremath{\rightarrow}}{p}{l}^{\ifmmode\pm\else\textpm\fi{}}{l}^{\ifmmode\pm\else\textpm\fi{}}+2$ jets, is investigated within a model mixing in the neutrino sector assuming existence heavy Majorana states with left-handed coupling to light leptons. Helicity amplitudes are given pointing out differences calculations previously reported by other authors. cross sections computed at energy LHC...

We consider the production at LHC of exotic composite leptons charge $Q=+2e$. Such states are allowed in models that contain extended isospin multiplets (${I}_{W}=1$ and ${I}_{W}=3/2$). These doubly charged couple with standard model (SM) fermions via gauge interactions, thereby delineating restricting their possible decay channels. discuss cross section ${L}^{++}(pp\ensuremath{\rightarrow}{L}^{++},{\ensuremath{\ell}}^{\ensuremath{-}})$ concentrate on leptonic signature deriving from cascade...

We study the one-dimensional Dirac equation in framework of a position dependent mass under action Woods-Saxon external potential. find that constraining appropriately function it is possible to obtain solution problem terms hypergeometric function. The for which this turns out be continuous. In particular we scattering and derive exact expressions reflection transmission coefficients are compared those constant case. For very same bound state also solved, providing transcendental energy...

We study the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field non-commutative plane. It is shown that effect of non-commutativity twofold: $i$) momentum non commuting coordinates simply shift critical value ($B_{\text{cr}}$) at which well known left-right chiral quantum phase transition takes place (in phase); $ii$) space induces new field, $B_{\text{cr}}^*$, where there second (right-left), --this point disappears commutative limit--. The change chirality associated with...

We investigate the search for heavy Majorana neutrinos stemming from a composite model scenario at upcoming LHC Run II centre of mass energy 13 TeV. While previous studies neutrino were focussed on gauge interactions via magnetic type transition coupling between ordinary and fermions (with $$m^*$$ ) here we complement with contact scale $$\Lambda $$ find that production cross sections are dominated by such roughly two/three orders magnitude. This mechanism provides therefore very interesting...

We study the production of doubly charged excited leptons at LHC. These exotic states are predicted in extended weak isospin composite models. A recent analysis such was based on a pure gauge model with magnetic type interactions. include here mechanism contact interactions and show that this turns out to dominate leptons. perform feasibility observation tri-lepton signature associated lepton simulating response generic detector. give exclusion plots parameter space, within statistical...

Abstract A very general class of axially symmetric metrics in relativity (GR) that includes rotations is used to discuss the dynamics rotationally supported galaxies. The exact vacuum solutions Einstein equations for this extended Weyl allow us rigorously deduce following: (i) GR rotational velocity always exceeds Newtonian (thanks Lenz’s law GR). (ii) non-vanishing intrinsic angular momentum ( J ) a galaxy demands asymptotic constancy (vectorial) length parameter )—a behaviour identical...

Generalized uncertainty relations are known to provide a minimal length $\ensuremath{\hbar}\sqrt{\ensuremath{\beta}}$. The effect of such in the Casimir-Polder interactions between neutral atoms (molecules) is studied. first order correction term parameter derived and found describe an attractive potential scaling as ${r}^{\ensuremath{-}9}$, opposed well-known ${r}^{\ensuremath{-}7}$ long range retarded potential.

We obtain exact solutions of the ($2+1$)-dimensional Dirac oscillator in a homogeneous magnetic field within minimal-length ($\mathrm{\ensuremath{\Delta}}{x}_{0}=\ensuremath{\hbar}\sqrt{\ensuremath{\beta}}$) or generalized uncertainty principle scenario. This system ordinary quantum mechanics has single left-right chiral phase transition (QPT). show that nonzero minimal length turns on an infinite number transitions which accumulate towards known QPT when...

Doubly charged excited leptons give rise to interesting signatures for physics beyond the standard model at present Large Hadron Collider. These exotic states are introduced in extended isospin multiplets which couple ordinary and quarks either with gauge or contact effective interactions a combination of both. In this paper we study production corresponding doubly forthcoming linear colliders focus on electron-electron beam setting. framework interactions, interference between $t$ $u$...

We consider the production at LHC of exotic quarks ${U}^{+}$ charge $Q=+(5/3)e$ and ${D}^{\ensuremath{-}}$ $Q=\ensuremath{-}(4/3)e$ mass ${m}_{*}$ arising in a composite fermion scenario characterized by compositeness scale $\mathrm{\ensuremath{\Lambda}}$. Such states are predicted models higher isospin multiplets (${I}_{W}=1$ or ${I}_{W}=3/2$). Given their charges (such as $5/3$), decays proceed through electroweak interactions. compute decay widths rates for resonant LHC. Partly motivated...

We use the extension problem proposed by Caffarelli and Silvestre to study quantization of a scalar nonlocal quantum field theory built out fractional Laplacian. show that behavior such in $d$-dimensions can be described terms local action $d+1$ dimensions which quantized using canonical operator formalism though giving up commutativity. In particular, we discuss how obtain two-point correlation functions vacuum energy density as brane limit bulk correlators. explicitly reproduces exactly...

The Dirac oscillator in a homogenous magnetic field exhibits chirality phase transition at particular (critical) value of the field. Recently, this system has also been shown to be exactly solvable context noncommutative quantum mechanics featuring interesting phenomenon re-entrant transitions. In work we provide detailed study thermodynamics such transitions (both standard and case) within Maxwell-Boltzmann statistics pointing out that magnetization discontinuities critical values even...

A bstract We present a detailed study concerning new physics scenario involving four fermion operators of the Nambu-Jona-Lasinio type characterized by strong-coupling ultraviolet fixed point where composite particles are formed as bound states elementary fermions at scale $$ \Lambda =\mathcal{O}\left(\textrm{TeV}\right) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> <mml:mo>=</mml:mo> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mi>TeV</mml:mi> </mml:mfenced>...

We present a detailed study of the effect internal bremsstrahlung photons in context minimal supersymmetric standard models and their impact on gamma-ray dark matter annihilation searches. find that although this has to be included for correct evaluation fluxes high energy from neutralino annihilation, its contribution is relevant only at energies where lines dominant over secondary photons. Therefore, we most optimistic scenarios detection do not change significantly when including...

In this paper we present the partial wave unitarity bound in parameter space of dimension-5 and dimension-6 effective operators that arise a compositeness scenario. These are routinely used experimental searches at LHC to constraint contact gauge interactions between ordinary Standard Model fermions excited (composite) states mass M. After deducing for production process composite neutrino, implement such compare it with recent exclusion curves Run 2, High-Luminosity High-Energy...

In this paper we present the un-Casimir effect, namely study of Casimir energy in presence an unparticle component addition to electromagnetic field contribution. The distinctive feature effect is a fractalization metallic plates. This result emerges through new dependence on plate separation that scales with continuous power controlled by dimension. As long as perfect conductor approximation valid, find bounds scale are independent effective coupling constant between invariant sector and...

Leptogenesis is an appealing framework to account for the baryon asymmetry in universe. To this end physics beyond Standard Model demanded. In paper we investigate possibility attain successful leptogenesis with composite Majorana neutrinos. We work of effective gauge mediated and contact interactions without any reference underlying compositeness theory. This approach one adopted all current experimental searches fermions at colliders. case interactions, calculate CP heavy neutrino decays....