Ebook: Statistical Mechanics and Field Theory: Mathematical Aspects: Proceedings of the International Conference on the Mathematical Aspects of Statistical Mechanics and Field Theory Held in Groningen, The Netherlands, August 26–30, 1985

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Content:
Front Matter....Pages -
A model for crystallization: A variation on the Hubbard model....Pages 1-9
First order phase transitions and perturbation theory....Pages 10-51
Low temperature continuous spin Gibbs States on a lattice and the interfaces between them — a Pirogov Sinai type approach....Pages 53-74
Spin glasses, effective decrease of long-range interactions....Pages 75-88
Analyticity in some models of quantum statistical mechanics....Pages 89-98
K-theory of C*—Algebras in solid state physics....Pages 99-156
Quantum field theory without cutoffs- renormalizable and nonrenormalizable....Pages 157-170
Renormalization group methods in rigorous quantum field theory....Pages 171-175
Renormalisation group methods for circle mappings....Pages 176-189
Correlations and fluctuations in charged fluids....Pages 190-208
Models of statistical mechanics in one dimension originating from quantum ground states....Pages 209-233
Why do bosons condense?....Pages 234-256
Black holes and quantum mechanics....Pages 257-257
Quantum field theory and gravitation....Pages 258-268
A remark on antiparticles....Pages 269-280
Notes on the canonical anticommutation relations....Pages 281-294
A differential - geometric setting for BRS transformations and anomalies....Pages 295-309
Renormalization of a hierarchical fermion model in two dimensions....Pages 313-318
Gribov copies and absence of spontaneous symmetry breaking in compact U(1) lattice higgs models....Pages 319-319
Renormalization group approach for the Ising model as an approximate solution of the diaphantian system of equations....Pages 320-320
Transformation of the transfer matrix for the Ising model under decimation....Pages 321-321
Some results concerning the localization problem in one-dimensional quasiperiodic systems....Pages 322-322
Random walks on random lattices....Pages 323-323
The role of transverse fluctuations in multidimensional tunneling....Pages 323-324
Self-similar temporal behavior of random walks in random media....Pages 324-324
Loop expansions in the presence of Gribov copies....Pages 325-325
Non-existence of long-range-order for a certain 1D model and the soliton picture....Pages 325-325
Quantum fields out of thermal equilibrium....Pages 326-326
Statistical mechanical approach to the construction of four dimensional boson field theories....Pages 326-326
Correlation lengths at zero temperature in one dimension....Pages 327-327
Horizontal Wilson loops in finite temperature lattice gauge theories....Pages 327-327
The random bond Potts and Ashkin-Teller models....Pages 328-328
Spectral line shapes in quantum Markov scattering....Pages 328-328
Exact bogoliubov limits for the Bassichis-Foldy model and continued fractions....Pages 328-328

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Content:
Front Matter....Pages -
A model for crystallization: A variation on the Hubbard model....Pages 1-9
First order phase transitions and perturbation theory....Pages 10-51
Low temperature continuous spin Gibbs States on a lattice and the interfaces between them — a Pirogov Sinai type approach....Pages 53-74
Spin glasses, effective decrease of long-range interactions....Pages 75-88
Analyticity in some models of quantum statistical mechanics....Pages 89-98
K-theory of C*—Algebras in solid state physics....Pages 99-156
Quantum field theory without cutoffs- renormalizable and nonrenormalizable....Pages 157-170
Renormalization group methods in rigorous quantum field theory....Pages 171-175
Renormalisation group methods for circle mappings....Pages 176-189
Correlations and fluctuations in charged fluids....Pages 190-208
Models of statistical mechanics in one dimension originating from quantum ground states....Pages 209-233
Why do bosons condense?....Pages 234-256
Black holes and quantum mechanics....Pages 257-257
Quantum field theory and gravitation....Pages 258-268
A remark on antiparticles....Pages 269-280
Notes on the canonical anticommutation relations....Pages 281-294
A differential - geometric setting for BRS transformations and anomalies....Pages 295-309
Renormalization of a hierarchical fermion model in two dimensions....Pages 313-318
Gribov copies and absence of spontaneous symmetry breaking in compact U(1) lattice higgs models....Pages 319-319
Renormalization group approach for the Ising model as an approximate solution of the diaphantian system of equations....Pages 320-320
Transformation of the transfer matrix for the Ising model under decimation....Pages 321-321
Some results concerning the localization problem in one-dimensional quasiperiodic systems....Pages 322-322
Random walks on random lattices....Pages 323-323
The role of transverse fluctuations in multidimensional tunneling....Pages 323-324
Self-similar temporal behavior of random walks in random media....Pages 324-324
Loop expansions in the presence of Gribov copies....Pages 325-325
Non-existence of long-range-order for a certain 1D model and the soliton picture....Pages 325-325
Quantum fields out of thermal equilibrium....Pages 326-326
Statistical mechanical approach to the construction of four dimensional boson field theories....Pages 326-326
Correlation lengths at zero temperature in one dimension....Pages 327-327
Horizontal Wilson loops in finite temperature lattice gauge theories....Pages 327-327
The random bond Potts and Ashkin-Teller models....Pages 328-328
Spectral line shapes in quantum Markov scattering....Pages 328-328
Exact bogoliubov limits for the Bassichis-Foldy model and continued fractions....Pages 328-328
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