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FERMIONS FROM PHOTONS: BOSONIZATION OF QED IN 2+1 DIMENSIONS
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 potentialExpand
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Polyakov spin factors and Laplacians on homogeneous spaces
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 toExpand
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Spin statistics, and geometry of random walks
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 ofExpand
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A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3
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 beExpand
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Intersections of fermionic paths and four-fermion interactions
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 withExpand
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DYSON-SCHWINGER EQUATIONS IN TERMS OF RANDOM WALKS: FOUR-FERMION INTERACTIONS
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 correlationExpand
Vortex condensation in a model of random φ4-graphs
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 partitionExpand
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BOUND STATE ENERGIES IN THE 1/N EXPANSION
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/NExpand
Solution of the renormalization group equation and ultraviolet asymptotics of gauge-dependent propagators in QCD
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 behaviourExpand
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