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Finite-Volume Form Factors in Semiclassical Approximation
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Finite-Volume Form Factors in Semiclassical Approximation
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A semiclassical approach is used to obtain Lorentz covariant expressions for the form factors between the kink states of a quantum field theory with degenerate vacua. Implemented on a cylinder geometry it provides an estimate of the spectral representation of correlation functions in a finite volume. Illustrative examples of the applicability of the method are provided by the Sine-Gordon and the broken \phi^4 theories in 1+1 dimensions.
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Variational Method in Quantum Field Theory
A variational ansatz built from exact sinh-Gordon vacuum expectation values yields quantitative estimates of the φ⁴ ground-state energy and mass, validated by Borel resummation and truncated-space numerics.
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