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hep-th2003
Space-time non-commutativity tends to create bound states
D. V. Vassilevich, A. Yurov
We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to cre…
hep-th2003
Non-commutative heat kernel
D. V. Vassilevich
We consider a natural generalisation of the Laplace type operators for the case of non-commutative (Moyal star) product. We demonstrate existence of a power law asymptotic expansio…
hep-th2003
Heat kernel expansion: user's manual
D. V. Vassilevich
The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action. The aim of this report is to colle…