Journal Article10.1007/BF01211097
Volume dependence of the energy spectrum in massive quantum field theories. II. Scattering states
TL;DR: The low-lying energy values associated to energy eigenstates describing two stable particles enclosed in a (space-like) box of sizeL are shown to be expandable in an asymptotic power series of 1/L as mentioned in this paper.
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Abstract: The low-lying energy values associated to energy eigenstates describing two stable particles enclosed in a (space-like) box of sizeL are shown to be expandable in an asymptotic power series of 1/L The coefficients in these expansions are related to the appropriate elastic scattering amplitude in a simple and apparently universal manner At low energies, the scattering amplitude can thus be determined, if an accurate calculation of two-particle energy values is possible (by numerical simulation, for example)
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References
Chiral perturbation theory to one loop
J. Gasser,Heinrich Leutwyler +1 more
TL;DR: In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.
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Continuum limit and improved action in lattice theories
TL;DR: In this paper, the φ4 theory can be reduced systematically by use of lattice actions that also include suitable irrelevant terms, and the principles of such constructions are described in detail.
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Quantum-Mechanical Many-Body Problem with Hard-Sphere Interaction
Kerson Huang,Chen Ning Yang +1 more
TL;DR: In this paper, a generalization of Fermi's pseudopotential for the two-body hard-sphere problem is introduced, which leads to an expansion of the energy levels of the system in powers of $a.
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