منابع مشابه
Bosonization and the eikonal expansion: similarities and differences
We compare two non-perturbative techniques for calculating the singleparticle Green’s function of interacting Fermi systems with dominant forward scattering: our recently developed functional integral approach to bosonization in arbitrary dimensions, and the eikonal expansion. In both methods the Green’s function is first calculated for a fixed configuration of a background field, and then aver...
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We derive an eikonal approximation to high energy interactions in Anti–de Sitter spacetime, by generalizing a position space derivation of the eikonal amplitude in flat space. We are able to resum, in terms of a generalized phase shift, ladder and cross ladder graphs associated to the exchange of a spin j field, to all orders in the coupling constant. Using the AdS/CFT correspondence, the resul...
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The free energy of U(N) gauge theory is expanded about a center-symmetric topological background configuration with vanishing action and vanishing Polyakov loops. We construct this background for SU(N) lattice gauge theory and show that it uniquely describes center-symmetric minimal action orbits in the limit of infinite lattice volume. The leading contribution to the free energy in the 1/N exp...
متن کاملBiorthogonal Expansion of Non-Symmetric Jack Functions⋆
We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner–Pollaczek type polynomials. This is done by computing the Cherednik–Opdam transform of the non-symmetric Jack polynomials multiplied by the exponential function.
متن کاملCoulomb corrections in quasi-elastic scattering based on the eikonal expansion for electron wave functions
An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the Dirac equation with a Coulomb potential. Convergence is rapid at energies above about 250 MeV. Analytical results for the eikonal wave functions are obtained f...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1976
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.55.751