Showing papers in "Annals of Physics in 1976"

TL;DR: Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts as mentioned in this paper.

TL;DR: In this paper, a unified description of collective nuclear states in terms of a system of interacting bosons was proposed, and both the vibrational and the rotational limit can be recovered within this model.

TL;DR: In this paper, a generalized theory of irreversible thermodynamics is proposed, which is applicable to the description of transient irreversible effects and reconcilable with causality, and the relativistic formulation of the second law of thermodynamics for the exchange of heat and matter between bodies with arbitrary relative velocities.

TL;DR: In this paper, a new general class of solutions of the Einstein-Maxwell equations is presented, which is based on seven arbitrary parameters that group in a natural way into three complex parameters m + in, a + ib, e + ig, and the cosmological constant λ.

TL;DR: In this article, a nonlinear wave mechanics based on Schrodinger-type equation with nonlinearity −bψ ln | ψ |2 is constructed, and its most attractive features are: existence of the lower energy bound and validity of Planck's relation E = hω.

TL;DR: The massive Schwinger model is a quantum electrodynamics of a Dirac particle of mass m and charge e in 1 + 1 dimensions as mentioned in this paper, and it is known that the physics of the model depends on an arbitrary parameter independent of e and m, an angle, θ,|θ| ⩽ π.

TL;DR: The main results give necessary and sufficient conditions for there to be a bound state when lambda is small and analyticity of the energy eigenvalue at lambda=0 in one (resp. two) dimensions is proved.

TL;DR: In this article, a set of renormalization group recursion formulas which were proposed by Migdal are re-derived, reinterpreted, and critically analyzed, and a new interpretation which arises from these derivations indicates that Midgal's formulas are best understood as referring to systems in which the couplings are anisotropic.

TL;DR: In this paper, a theory of phase transition with symmetry restoration in gauge theories at high temperature is investigated, and strong constraints on masses and coupling constants for the symmetry in the Higgs model to be broken are obtained.

TL;DR: In this paper, Faddeev's Hamiltonian path integral method for singular Lagrangians is generalized to the case when second-class constraints appear in the theory, and the general formalism is then applied to several problems.

TL;DR: A canonical Hamiltonian formulation for the general time-dependent variational principle associated with the Schroedinger equation is discussed in this article, which is used for a wide range of systems including the many body problem and field theory.

TL;DR: In this article, the authors study the question of renormalization of gauge invariant operators in the gauge theories and obtain a complete set of local solutions of a functional differential equation.

TL;DR: In this article, the authors propose an unduly restricted framework for the theoretical description of quantum properties; non-hermitian operators, for instance unitary but also non-normal ones, may be acceptable as well if the projectors onto their eigenstates allow for a resolution of the identity operator, so as to preserve the probabilistic interpretation of the Hilbert space formalism.

TL;DR: In this article, it was shown that probability amplitudes and transition matrix elements are gauge-invariant for a nonrelativistic spinless, spinless charged particle.

TL;DR: In this paper, the Schrodinger equation is used to obtain the wave function at a given point as a sum of semiclassical terms, each of them corresponding to a different classical trajectory ending up at the same point.

TL;DR: The weakly coupled λΦ4 quantum field theory models in three space time dimensions exist and satisfy all the Wightman axioms as mentioned in this paper, and the mass operator has an isolated simple eigenvalue at zero and no spectrum in the interval (0, m) for some m > 0.

TL;DR: In this paper, the power spectra of Cerenkov, synchrotron, and synchoretron-Cerenkov radiation are calculated both classically and quantum mechanically by mass operator methods.

TL;DR: In this article, a new definition of path integrals is given to compute the semiclassical expansion of the probability amplitude of a transition A → B K(B; A) = K o (B, A) ∑ n=o ∞ (iℏ) n A n.

TL;DR: In this article, it was shown that scaling assumptions for the cluster concentration p (l, s ) imply that the critical behavior cannot be attributed to fully "ramified" clusters as suggested by Domb.

TL;DR: In this paper, asymptotic forms of the wavefunction and Faddeev components in configuration space are shown to determine uniquely the solutions of the Schrodinger or Faddeiv differential equations for 2 → (2, 3) and 3 → ( 2, 3), processes.

TL;DR: In this article, the effect of isobaric excitations on the weak axial coupling constants in nuclei is studied through P.C.A. and the Klein-Gordon equation for the virtual pion field in the nucleus.

TL;DR: In this paper, the authors derived the attenuation length of Rayleigh surface waves in the presence of surface roughness using a Green's function method and showed that the contribution of roughness-induced scattering into bulk transverse and longitudinal acoustic waves and into Rayleigh waves is proportional to the square of the rms amplitude of the roughness.

TL;DR: In this paper, a convergent expansion for nearly Gaussian quantum field theory in the multiphase region is given, which combines an expansion in phase boundaries, a cluster expansion, and a perturbation expansion to isolate dominant behavior.

TL;DR: In this paper, a phenomenological model for treating meson-nucleus interactions to all orders is presented, and the parameters of the model have clear theoretical significance which can extend our knowledge of strong interactions physics.

TL;DR: The theory of linear collective motion is developed by the method of canonical transformations, recovering, as special cases, the earlier results of Casimir, Bohr-Mottelson, and Villars as discussed by the authors.

TL;DR: In this article, the nonrelativistic problem of the scattering of two dyons (including the case of electron scattering by magnetic monopoles) is systematically studied, both classically and quantum mechanically, with a view toward the discrimination between various combinations of electric and magnetic charges.

TL;DR: In this article, Guerra's theorem, φ bounds and Frohlich bounds in the Y 2 and φ 3 4 field theories were proved, and the two main inputs were Osterwalder-Schrader positivity in the spatial direction as well as in the time direction.

TL;DR: In this article, a generalization of both the SL(3, R) model of Weaver and Biedenharn and the rotational [R5]SU(2) model has been proposed.

TL;DR: In this paper, low lying excitations of colored quarks and gluons are studied in the bag theory and the calculated masses of these states are generally found to be lighter than the observed states.

TL;DR: In this paper, a two-step calculation of the G-matrix for finite nuclei is presented, in the first step the high-energy excitations are included using orthogonalized plane-wave intermediate states, and in the second step the low-energy activations are added in, using harmonic oscillator intermediate states.