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Theoretical Physycs Group at Scuola Normale Superiore
Piazza dei Cavalieri, 7
56100 Pisa PI - Italy
ph. +39 050 509203
ph. +39 050 509111

Slava Rychkov (Institut des Hautes Études Scientifiques, Paris)

Constructing​ ​Quantum​ ​Field​ ​Theories​ ​Non-perturbatively​ ​with​ ​Hamiltonian Methods

Abstract
While​ ​path​ ​integral​ ​approach​ ​to​ ​quantum​ ​field​ ​theories​ ​has​ ​come​ ​to​ ​dominate​ ​the​ ​field,​ ​the​ ​Hamiltonian methods​ ​have​ ​been​ ​unjustly​ ​neglected.​ ​I​ ​will​ ​discuss​ ​some​ ​work,​ ​inspired​ ​by​ ​the​ ​Rayleigh-Ritz​ ​method​ ​in quantum​ ​mechanics,​ ​which​ ​uses​ ​the​ ​Hamiltonian​ ​approach​ ​to​ ​do​ ​approximate​ ​but​ ​precise​ ​non-perturbative computations​ ​in​ ​strongly​ ​coupled​ ​quantum​ ​field​ ​theory​ ​in​ ​1+1​ ​dimensions.