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In the limit of extremely low energies QCD describes essentially the interactions between the approximately massless pseudoscalars. They are the bound states of the ‘‘chiral’’ quarks. Equivalently they are collective Goldstone modes of dynamically broken chiral symmetry, and interact in a...
The back reaction of quantum fields on evaporating black holes in the presence of inflation is estimated by computing the expectation value of the stress-energy tensor for a massless scalar field in two dimensions.
An instantaneous nondemolition measurement technique for composite quantum-mechanical systems (those which consist of several separate subsystems) is described, and that technique is applied to the design of verification experiments for some nonlocal variables and states. Relativistic...
A recently proposed nonperturbative scheme of calculation for the S matrix of field theories is tested for the nonlinear Schrödinger model. For the case of two-body scattering, we study the dependence of the approximate S matrix on the following approximation parameters: the momentum-space...
We formulate supersymmetric quantum mechanics in a three-dimensional curved space of constant curvature. It is shown that the curvature effect reduces the vacuum energy and supersymmetry is broken dynamically. In the limit R→∞ we recover flat-space (unbroken) supersymmetry.
The hypervirial perturbative method is used to obtain large-order shifted 1/N expansions, where N is the number of spatial dimensions. Numerical investigation shows that the usually chosen shift is useful only when low-order expansions are considered. An appropriate order-dependent shift proves...
We make a systematic search of all the possible field theories in n -dimensional Minkowski space with an Abelian gauge invariance and bosonic gauge fields. They include the usual cases of Maxwell theory and spontaneously broken gauge theories but also less known cases such as a conserved...
This paper is an investigation of quantum wave propagation near the event horizon of an astrophysical black hole. Solutions of the wave equations for Dirac and electromagnetic quanta are determined near the horizon with more accuracy than can be found in previously existing literature. For these...
We discuss dynamical properties of a nonlinear interaction model with supersymmetry (SUSY) to study its vacuum structure and minimally realized Nambu-Goldstone sector. The interactions given by an SO(2, C )-invariant superpotential generate a doublet composite superfield with the inverse size of...
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