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Nonperturbative effects in deformation quantization
Vipul Periwal
The Cattaneo-Felder path integral form of the perturbative Kontsevich deformation quantization formula is used to explicitly demonstrate the existence of nonperturbative correction…
Dynamical truncation of the string spectrum at finite N
Gilad Lifschytz, Vipul Periwal
We exhibit a nonperturbative background independent dynamical truncation of the string spectrum and a quantization of the string coupling constant directly from the Hamiltonian gov…
A toy model of Polyakov duality
Vipul Periwal
Polyakov has conjectured that Yang-Mills theory should be equivalent to a noncritical string theory. I pointed out, based on the work of Marchesini, Ishibashi, Kawai and collaborat…
String field theory Hamiltonians from Yang-Mills theories
Vipul Periwal
Marchesini showed that the Fokker-Planck Hamiltonian for Yang-Mills theories is the loop operator. Jevicki and Rodrigues showed that the Fokker-Planck Hamiltonian of some matrix mo…
Monopole condensates in SU(N) Yang-Mills Theory
Vipul Periwal
Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of new variables, appropriate for describing the theory in its infrared limit based on the intui…
The topology of events
Vipul Periwal
A matrix model is constructed to compute characteristic numbers of the space of subsets of with elements. This matrix model is found to be a constrained null dimensional…