Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-18
Nucl.Phys.Proc.Suppl.161:238-247,2006
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 4 figures, uses psfig.sty. Conference talk Light Cone 2005 -- Cairns This paper is being replaced to add references
Scientific paper
10.1016/j.nuclphysbps.2006.08.05
Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that are widely believed not to be solvable by such methods. The novel feature of adaptive perturbation theory is that it decomposes a given Hamiltonian, $H$, into an unperturbed part and a perturbation in a way which extracts the leading non-perturbative behavior of the problem exactly. In this talk I will introduce the method in the context of the pure anharmonic oscillator and then apply it to the case of tunneling between symmetric minima. After that, I will show how this method can be applied to field theory. In that discussion I will show how one can non-perturbatively extract the structure of mass, wavefunction and coupling constant
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