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Results 31-34 of 34 (Search time: 0.002 seconds).
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Some comments on rigorous quantum field path integrals in the analytical regularization schemeBotelho, Luiz C. L.-2008Through the systematic use of the Minlos theorem on the support of cylindrical measures on $R^\infty$, we produce several mathematically rigorous path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of the Laplacean operator.
The Atiyah-Singer Index Theorem: A Heat Kernel (PDE's) ProofBotelho, Luiz C.L.-2008We present a simple Partial Differential Equation proof for the Atiyah-Singer Index Theorem in the context of Dirac Operators on a Riemman Surface. Addintionaly, we present a proof of the monotonic grown under the Ricci flux of the Dirac Operator in the presence of a abelian Gauge Connection in a Riemman Surface.
A Comment about the existence of a weak solution for a nonlinear Wave Damped PropagationBotelho, Luiz C. L.-2008We give a proof for the existence of weak solutions on the initial-value problem of a non-linear wave damped propagation.