We show that $CPT$-even aetherlike Lorentz-breaking actions, for the scalar and electromagnetic fields, are generated via their appropriate coupling to spinor in three, four, five space-time dimensions. Besides, we also terms field can be as a consequence of same couplings. discuss dispersion relations theories with find tree-level effective (Breit) potential fermion scattering one-loop corresponding action field.

We investigate the effect of Lorentz-violating terms on Bhabha scattering in two distinct cases correspondent to vectorial and axial nonminimal couplings QED. In both cases, we find significant modifications with respect usual relativistic result. Our results reveal an anisotropy differential cross section which imply new constraints possible Lorentz violating terms.

A four-dimensional Lorentz-breaking non-Abelian Chern-Simons-like action is generated as a one-loop perturbative correction via an appropriate coupling of the gauge field to spinor field. This term shown be regularization dependent, but nevertheless it can found unambiguously in different schemes at zero and finite temperature.

Using the Berezin-Marinov pseudoclassical formulation of spin particle we propose a classical model noncommutativity. In nonrelativistic case, Poisson brackets between coordinates are proportional to angular momentum. The quantization leads noncommutativity with mixed spatial and degrees freedom. A modified Pauli equation, describing half in an external electromagnetic field is obtained. We show that nonlocality caused by depends on particle; for zero, does not appear, half,...

We study the one-loop low-energy effective action for higher-derivative superfield gauge theory coupled to chiral matter.Received 24 May 2011DOI:https://doi.org/10.1103/PhysRevD.84.045001© 2011 American Physical Society

We investigate the occurrence of ambiguities for Lorentz-violating gravitational Chern-Simons term. It turns out that this term is accompanied by a coefficient depending on an undetermined parameter, due to arbitrariness in choice conserved current.

We show that the noncommutativity of space–time destroys renormalizability 1/N expansion O(N) Gross–Neveu model. A similar statement holds for noncommutative nonlinear sigma However, we that, up to subleading order in expansion, supersymmetric model becomes renormalizable D=3. also dynamical mass generation is restored and there no catastrophic UV/IR mixing. Unlike commutative case, find Lagrange multiplier fields, which enforce constraints, are renormalized. For D=2 divergence four-point...

We show that the Dirac-bracket quantization of a single self-dual field leads naturally to bosonization formulas. find numerical parameter describing soliton charge and unveiling hidden sectors.

Using the superfield formalism, we study dynamical breaking of gauge symmetry and superconformal invariance in $\mathcal{N}=1$ three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar with quartic self-coupling. This is an analogue conformally invariant Coleman-Weinberg model four spacetime dimensions. We show that mass for matter superfields are dynamically generated after two-loop corrections effective superpotential. also discuss $\mathcal{N}=2$ extension our work,...

We develop a superfield approach to the effective potential in supersymmetric Chern-Simons theory coupled matter and, Landau gauge, calculate one-loop K\"ahlerian and give some qualitative prescriptions for two-loop one.

We calculate the one-loop effective potential at finite temperature for Horava- Lifshitz-like QED and Yukawa-like theories arbitrary values of critical exponent space-time dimension. Additional remarks on zero situation are also presented.

Commutative supersymmetric Yang-Mills is known to be renormalizable for $\mathcal{N}=1,2,$ while finite $\mathcal{N}=4.$ However, in the noncommutative version of model $({\mathrm{NCSQED}}_{4})$ UV-IR mechanism gives rise infrared divergences which may spoil perturbative expansion. In this work we pursue study consistency ${\mathrm{NCSQED}}_{4}$ by working systematically within covariant superfield formulation. Landau gauge, it has already been shown $\mathcal{N}=1$ that gauge field...

In a 4D chiral Thirring model we analyze the possibility that radiative corrections may produce spontaneous breaking of Lorentz and $CPT$ symmetry. By studying effective potential, verified current $\overline{\ensuremath{\psi}}{\ensuremath{\gamma}}^{\ensuremath{\mu}}{\ensuremath{\gamma}}_{5}\ensuremath{\psi}$ assume nonzero vacuum expectation value which triggers violations. Furthermore, by making fluctuations on minimum potential dynamically induce bumblebee-like containing Chern-Simons term.

In this paper we study the one- and two-loop contribution to free energy in QED with Lorentz symmetry breaking introduced via constant $CPT$-even Lorentz-breaking parameters at high temperature limit. We find impact of Lorentz-violating term for carry out a numerical estimation parameter.

We study the vacuum stability of a model massless scalar and fermionic fields minimally coupled to Chern-Simons field. The classical Lagrangian involves only dimensionless parameters, can be thought as (2+1)-dimensional analogue Coleman-Weinberg model. By calculating effective potential, we show that dynamical symmetry breakdown occurs in two-loop approximation. becomes asymmetric mass generation for boson fermion takes place. Renormalization group arguments are used clarify some aspects solution.

We propose two alternative formulations for a three-dimensional nonanticommutative superspace in which some of the fermionic coordinates obey Clifford anticommutation relations. For this superspace, we construct supersymmetry generators satisfying standard relations and corresponding supercovariant derivatives. formulate scalar superfield theory such calculate its propagator. also suggest prescription introduction interactions theories.

We analyze the breaking of Lorentz invariance in a 3D model fermion fields self-coupled through four-fermion interactions. The low-energy limit theory contains various submodels which are similar to those used study graphene or description irrational charge fractionalization.

Following previous strategies by Stoler et al. which introduced the binomial state and Baseia intermediate number phase state, we introduce a new of quantized radiation field, reduces to squeezed in two different limits. This interpolating exhibits nonclassical effects as sub-Poissonian, antibunching squeezing, obtained from corresponding expressions function parameters.

This work presents a perturbative analysis of the supersymmetric Chern-Simons model in three spacetime dimensions coupled to Higgs field, using superfield formalism. We study spontaneous symmetry breaking $U(1)$ gauge and evaluate first quantum corrections effective action broken phase. show that infinite renormalization gap equation is enough ensure renormalizability at loop level.

We enlarge the usual D=3 N=1 supergraph techniques to include case of (explicitly or spontaneously) broken supersymmetric gauge theories. To illustrate utility these techniques, we calculate two-loop effective potential SQED3 by using tadpole and vacuum bubble methods. In methods, investigate possibility supersymmetry breaking, superfields must be shifted $\theta$ dependent classical (vacuum expectation values), what implies in explicit breakdown intermediate steps calculation. Nevertheless,...

We study a noncommutative nonrelativistic theory in $2+1$ dimensions of scalar field coupled to the Chern-Simons field. In commutative situation this model has been used simulate Aharonov-Bohm effect context. verified that, contrary result, inclusion quartic self-interaction is not necessary secure ultraviolet renormalizability model. However, obtain smooth limit presence gauge invariant required. For small noncommutativity we fix corrections scattering and prove that up one loop free from...

Within the superfield approach, we prove absence of UV/IR mixing in three-dimensional noncommutative supersymmetric Maxwell-Chern-Simons theory at any loop order and demonstrate its finiteness one, three, higher orders.