Spherical field theory is a new non-perturbative method for studying quantum field theory. It was introduced in [1] and was used to describe the interactions of scalar boson fields. In this paper we show how to extend the spherical field method to fermionic systems. The central idea of spherical field theory is to treat a d-dimensional system as a set of coupled one-dimensional systems. This is...

A general time-dependent projection technique is applied to the study of the dynamics of quantum correlations in a system consisting of interacting fermionic and bosonic subsystems, described by the Jaynes-Cummings Hamiltonian. The amplitude modulation of the Rabi oscillations which occur for a strong, coherent initial bosonic field is obtained from the spin intrinsic depolarization resulting f...

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

The deBroglie-Bohm pilot-wave theory is an interpretation of quantum theory in which the observer plays no fundamental role. In a pilot-wave theory, quantum systems are not only described by the state vector, but also by some additional variables. These additional variables, also called beables, can be particle positions, field configurations, strings, etc. In this paper we focus our attention ...

We propose that type 0B string theory in two dimensions admits a dual description in terms of a one dimensional bosonic matrix model of a hermitian matrix. The potential in the matrix model is symmetric with respect to the parity-like Z2 transformation of the matrix. The two sectors in the theory, namely the NSNS and RR scalar sectors correspond to two classes of operators in the matrix model, ...

We investigate the Casimir effect at finite temperature for a charged scalar field in the presence of an external uniform and constant magnetic field, perpendicular to the Casimir plates. We have used a boundary condition characterized by a deformation parameter θ; for θ = 0 we have a periodic condition and for θ = π, an antiperiodic one, for intermediate values, we have a deformation. The temp...

In even spacetime dimensions, the interacting bosonic conformal higher-spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is model $\mathcal{S}[\varphi,h]$ describing a complex scalar field $\varphi$ coupled to infinite set of background CHS fields $h$, with possessing non-abelian gauge symmetry. Two characteristic features perturbative constructions ...

Interaction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies Abstract A general theory of the interaction of the quantized electromagnetic field with atoms in the presence of dispersing and absorbing dielectric bodies of given Kramers–Kronig consistent permittivities is developed. It is based on a source-quantity representation of t...

Kaluza-Klein compactifications of higher dimensional Yang–Mills theories contain a number of four dimensional scalars corresponding to the internal components of the gauge field. While at tree-level the scalar zero modes are massless, it is well known that quantum corrections make them massive. We compute these radiative corrections at 1–loop in an effective field theory framework, using the ba...