Resonance fluorescence in the resolvent-operator formalism

Resolvent Estimates of the Dirac Operator

Cohomology and the Operator Formalism

This letter points a close parallel between the operator formalism for string theory and the action of a Lie algebra on a differential complex. The construction of conformal field theories can then be regarded as a cohomology problem; we suggest that this viewpoint may survive the generalization beyond finite genus Riemann surfaces. Disciplines Physical Sciences and Mathematics | Physics This j...

Non-Perturbative Dirac Operator Resolvent Analysis

We analyze the 1 + 1 dimensional Nambu-Jona-Lasinio model nonperturbatively. In addition to its simple ground state saddle points, the effective action of this model has a rich collection of non-trivial saddle points in which the composite fields σ(x) = 〈ψ̄ψ〉 and π(x) = 〈ψ̄iγ5ψ〉 form static space dependent configurations because of non-trivial dynamics. These configurations may be viewed as one d...

Displacement Operator Formalism

We review the D-formalism, a new method for determining the renormalization of Green functions to all orders in perturbation theory. This formalism exploits the fact that the renormalized Green functions may be calculated by displacing by an infinite amount the renormalized fields and parameters of the theory with respect to the unrenormalized ones. We briefly discuss some of its main character...

Resolvent Operator Method for General Variational Inclusions

In this paper, we introduce a new class of variational inclusions involving three operator. Using the resolvent operator technique, we establish the equivalence between the general variational inclusions and the resolvent equations. We use this alternative equivalent formulation to suggest and analyze some iterative methods for solving the general variational inclusions. We also consider the cr...