The interaction of a moving charged particle with its coherent electromagnetic field is analysed in the framework of non-relativistic quantum mechanics. It is shown that, when this interaction is taken into account, a spatially localized state may have a mean energy lower than the one corresponding to a delocalized state. PACS. 03.65.-w Quantum mechanics – 03.70.+k Theory of quantized fields – ...

Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For c < 1, an approximate solution of this equation is obtained by truncating the space of all action functionals. The Ward identities resulting from the Weyl invariance of the theory are used in order to select a specific universality class for the renormalizati...

The Green functions of the Chern-Simons theory quantized in the axial gauge are shown to be calculable as the unique, exact solution of the Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella. Supported in part by the Swiss National Science Foundation. 2 Supported in part by the ”Fonds zur Förderung der Wissenschaftlichen ...

A survey is given of applications of the “string-inspired” worldline formalism to the computation of amplitudes and effective actions in QED. INTRODUCTION: QED IN FIRST QUANTIZATION The “worldline” or “string-inspired” formalism is an alternative to the usual second-quantized formalism in quantum field theory based on relativistic particle path integrals. Although it was invented by Feynman [1,...

It was shown by Brown and Henneaux that the classical theory of gravity on AdS3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro generators in the first-quantized string theory on AdS3. In this paper, we explore various aspects of string theory on AdS3 and study the relation between the...

Abstract We show the mathematical formulation of the process of pair production in electromagnetic fields for spinless particles. We compute the probability that pairs are created in the semiclassical approximation, and we prove that, in this approach, the pair creation phenomenon is a stochastic Poisson process. Finally, we give a rigorous demonstration and a suitable interpretation of the Sch...

The theory of crystal bases introduced by Kashiwara in [6] to study the category of integrable representations of quantized Kac–Moody Lie algebras has been a major development in the combinatorial approach to representation theory. In particular Kashiwara defined the tensor product of crystal bases and showed that it corresponded to the tensor product of representations. Later, in [7] he define...

Symmetry properties of physical laws with respect to space-inversion, time-reversal and charge-conjugation are investigated in detail in the framework of the quantized 6eld theory. In most cases, the requirements of invariance for these transformations are automatically satisfied; in a few other cases they can impose certain conditions on the ways in which different types of interaction are to ...

In manifolds with spatial boundary, BRST formalism can be used to quantize gauge theories. We show that, in a U(1) gauge theory, only a subset of all the boundary conditions allowed by the self-adjointness of the Hamiltonian preserves BRST symmetry. Hence, the theory can be quantized using BRST formalism only when that subset of boundary conditions is considered. We also show that for such boun...

We calculate the equal-time commutator of two fermionic currents within the framework of the 1+1 dimensional fully quantized theory, describing the interaction of massive fermions with a massive vector boson. It is shown that the interaction does not change the result obtained within the theory of free fermions. PACS number(s): 11.40.-q, 11.40.DW, 11.40.Ex Typeset using REVTEX ∗e-mail address –...