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Publications Influence

FERMIONS FROM PHOTONS: BOSONIZATION OF QED IN 2+1 DIMENSIONS

- A. Kovner, P. S. Kurzepa
- Physics
- 14 June 1993

We perform the complete bosonization of (2+1)-dimensional QED with one fermionic flavor in the Hamiltonian formalism. The Fermi operators are explicitly constructed in terms of the vector potential… Expand

4 1- PDF

Polyakov spin factors and Laplacians on homogeneous spaces

- T. Jaroszewicz, P. S. Kurzepa
- Physics
- 1992

Abstract We derive the Laplacian Δ(A) associated with parallel transport of spin on the bundle SN ← E+. This Laplacian, previously used to construct the generalization of the Polyakov spin factor to… Expand

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Spin statistics, and geometry of random walks

- T. Jaroszewicz, P. S. Kurzepa
- Physics
- 1 September 1991

We develop and unify two complementary descriptions of propagation of spinning particles: the directed random walk representation and the “spin factor” approach. Working in an arbitrary number of… Expand

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A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3

- A. Kovner, P. S. Kurzepa, B. Rosenstein
- Physics
- 26 March 1993

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2 + 1 dimensions. The vortex model has a current-current interaction and can be… Expand

11- PDF

Intersections of fermionic paths and four-fermion interactions

- T. Jaroszewics, P. S. Kurzepa
- Physics
- 15 April 1993

Abstract We extend the continuum version of Symanzik's polymer gas representation to fermionic field theories. Assuming the same type of regularization as in o 4 theories, we find that theories with… Expand

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DYSON-SCHWINGER EQUATIONS IN TERMS OF RANDOM WALKS: FOUR-FERMION INTERACTIONS

- T. Jaroszewicz, P. S. Kurzepa
- Physics
- 30 October 1993

Quantum field theories of interacting fermions have been recently formulated in terms of directed random walks. Using this formulation, we derive a hierarchy of equations for the correlation… Expand

Vortex condensation in a model of random φ4-graphs

- N. Dorey, P. S. Kurzepa
- Physics
- 15 July 1992

Abstract We consider a soluble model of large φ4-graphs randomly embedded in one compactified dimension; namely the large-order behaviour of finite-temperature perturbation theory for the partition… Expand

3- PDF

ERRATUM: A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3

- A. Kovner, P. S. Kurzepa, B. Rosenstein
- Physics
- 30 August 1993

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BOUND STATE ENERGIES IN THE 1/N EXPANSION

- T. Jaroszewicz, P. S. Kurzepa
- Physics
- 10 April 1993

We derive and solve — in an arbitrary number of dimensions — Omnes-type equations for bound-state energies in weakly coupled quantum field theories. We show that, for theories defined in the 1/N… Expand

Solution of the renormalization group equation and ultraviolet asymptotics of gauge-dependent propagators in QCD

- P. S. Kurzepa, A. Bechler
- Physics
- 1 February 1984

SummaryThe general solution of the RGE for gluon vertices in massless QCD is obtained for arbitrary α. It is shown that, contrary to the view prevailing in the literature, the ultraviolet behaviour… Expand

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