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Lectures on topological quantum field theory
In these lectures we present a general introduction to topological quantum field theories. These theories are discussed in the framework of the Mathai-Quillen formalism and in the context of twisted N...
In these lectures we present a general introduction to topological quantum field theories. These theories are discussed in the framework of the Mathai-Quillen formalism and in the context of twisted N...
Testing the standard model and beyond
The present status of precision electroweak tests of the Standard Model are discussed in Lecture 1, with particular emphasis on the search for the Higgs boson and W+W− production at LEP. Various...
The present status of precision electroweak tests of the Standard Model are discussed in Lecture 1, with particular emphasis on the search for the Higgs boson and W+W− production at LEP. Various...
Semiclassical statistical mechanics
AIP Conf. Proc. -- January 10, 1998 -- Volume 419, pp. 94-104
Trends in theoretical physics CERN-Santiago de Compostela-La Plata meeting;
doi:10.1063/1.54706
Issue Date: 10 January 1998
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We use a semiclassical approximation to derive the partition function for an arbitrary potential in one-dimensional Quantum Statistical Mechanics, which we view as an example of finite temperature scalar Field Theory at a point. We rely on Catastrophe Theory to analyze the pattern of extrema of the corresponding path-integral. We exhibit the propagator in the background of the different extrema and use it to compute the fluctuation determinant and to develop a (nonperturbative) semiclassical expansion which allows for the calculation of correlation functions. We discuss the examples of the single and double-well quartic anharmonic oscillators, and the implications of our results for higher dimensions. ©1998 American Institute of Physics.
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0094-243X (print)
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