Nuclear Physics B139 (1978) 159-169 0 North-Holland Publishing Company CALCULATING QUANTUM CORRECTIONS TO THE MASS OF A SOLITON WITHOUT COLLECTIVE COORDINATES *
نویسندگان
چکیده
Feynman rules are derived for computing quantum corrections to the mass of a soliton in quantum field theory. These rules exhibit a finite propagator, but in contrast to previous methods, no additional effective vertices are introduced beyond those present in the original shifted Lagrangian. The derivation is based on imposing end-point boundary conditions appropriate to a soliton state on the functional integral representing the soliton-to-soliton transition amplitude.
منابع مشابه
Nuclear Physics B139 (1978) 455-476 © North-Holland Publishing Company EXACT FORM FACTORS IN (1 + 1)-DIMENSIONAL FIELD THEORETIC MODELS WITH SOLITON BEHAVIOUR
A system of equations is derived which must be satisfied by multiparticle matrix elements of any local operator in field theories with soliton behaviour. Form factors of various operators of interest are calculated exactly by means of the known exact S-matrices in the sine-Gordon, massive Thirring, non-linear a-, and Gross-Neveu models. The finite sine-Gordon wave function renormalization const...
متن کاملNuclear Physics B163 (1980)254-260 © North-Holland Publishing Company PATTERNS OF SYMMETRY BREAKING IN THE EXCEPTIONAL GROUPS*
The symmetry breaking patterns for scalar fields in the low-lying representations of the exceptional groups are discussed. For scalar fields in the adjoint representation the theory possesses pseudo-Goldstone bosons in each case and the unbroken subgroup is uniquely determined by quantum corrections to the effective potential. The breaking of E6 down to SO(10)x U(1) may be of interest for grand...
متن کاملNuclear Physics B86 (1975) 125-141. North-Holland Publishing Company COMPARISON OF EXCHANGE MECHANISMS IN nN -+ oN AND PION PHOTO- AND ELECTROPRODUCTION
Rho-, photoand electroproduction are compared and contrasted from a t-channel exchange point of view. A common exchange mechanism is evident. Systematic differences associated with the variable mass of the vector particle are found in particular, the mass dependence of the non-pole-like contributions is reminiscent of that seen in higher mass resonance production. Naive vector meson dominance a...
متن کاملAnalytical Soliton Solutions Modeling of Nonlinear Schrödinger Equation with the Dual Power Law Nonlinearity
Introduction In this study, we use a newly proposed method based on the software structure of the maple, called the Khaters method, and will be introducing exponential, hyperbolic, and trigonometric solutions for one of the Schrödinger equations, called the nonlinear Schrödinger equation with the dual power law nonlinearity. Given the widespread use of the Schrödinger equation in physics and e...
متن کاملNuclear Physics B 130 (1977) 295-308 © North-Holland Publishing Company COMPLETE S-MATRIX OF THE MASSIVE THIRRING MODEL
Since Coleman's [ l j work on the equivalence of the massive Thirring model and the sine-Gordon theory there has been some progress in solving this model exactly [2j. The infinite number of conservation laws [3] which forbid particle production and imply the conservation of the set of the particle momenta impose strong restrictions on the S-matrix. One believes. [4] that it factorizes into two-...
متن کامل