The Temporal Ultraviolet Limit for Complex Bosonic Many-body Models
We consider the partition function for a many-body model consisting of a weakly coupled gas of bosons at any temperature T > 0 and any chemical potential μ, but with both infrared and ultraviolet cutoffs imposed in both temporal and spatial directions. We take the limit as the ultraviolet cutoff in the temporal direction is removed and develop a representation for the limit that, hopefully, provides a suitable starting point for controlling the limit as the infrared cutoffs are removed.
Unable to display preview. Download preview PDF.
- 4.Balaban, T., Feldman, J., Knörrer, H., Trubowitz, E.: Power series representations for complex bosonic effective actions. I. A small field renormalization group step. J. Math. Phys. (to appear)Google Scholar
- 5.Balaban, T., Feldman, J., Knörrer, H., Trubowitz, E.: Power series representations for complex bosonic effective actions. II. A small field renormalization group flow. J. Math. Phys. (to appear)Google Scholar
- 8.Edwards R.E.: Functional Analysis: Theory and Applications. Dover, New York (1995)Google Scholar
- 10.Ginibre J.: Some applications of functional integration in statistical mechanics. In: DeWitt, C., Stora, R. (eds) Statistical Mechanics and Quantum Field Theory, Proceedings of the Les Houches Summer School of Theoretical Physics, pp. 327. Gordon and Breach, New York (1971)Google Scholar