Download e-book for iPad: Advances in Quantum Field Theory by S. Ketov

By S. Ketov

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5 and 6 is to suggest the richness, flexibility and economy of texture available for solutions in a basis function approach. Next, we introduce the total invariant mass-squared M2 for the low-lying physical states in terms of a Hamiltonian H times a dimensionless integer for the total light-front momentum K M2 + P⊥ P⊥ → M2 + const = P+ P− = KH (4) where we absorb the constant into M2 . For simplicity, the transverse functions for both the electron and the photon were taken as eigenmodes of the external trap in our initial application (7) which we discuss here (below, we present results with the external trap removed).

The light-front Hamiltonian quantized within a basis function approach as described here offers a promising avenue that capitalizes on theoretical and computational achievements in quantum many-body theory over the past decade. By way of background, one notes that Hamiltonian light-front field theory in a discretized momentum basis (1) and in transverse lattice approaches (2; 3) have shown significant promise. I outline here a Hamiltonian basis function approach following Refs. (4–10) that exploits recent advances in solving the non-relativistic strongly interacting nuclear many-body problem (11; 12).

1997). Effective interactions for mesons and baryons in nuclei, Progr. Theor. , 98, 927-941. V. (2004). Clothed particle representation in quantum field theory: Mass renormalization, Phys. Rev. D 70, 085011. V. (2007). Relativistic interactions for the meson-two-nucleon system in the clothed-particle unitary representation, Ann. , 322, 736-768. ; Glöckle, W. (1999). Approach towards N-nucleon effective generators of the Poincaré group derived from a field theory, Phys. Rev. C 59, 31919-1929. V. (1993).

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Advances in Quantum Field Theory by S. Ketov

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