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- Erhard Seiler, Barry Simon
- 2004

We prove bounds of the form Z Λ ^e a{Λl and (SZ)^^ 1 in the Y 2 Euclidean field theory and from this obtain Glimm's Hamiltonian bound and Schrader's linear lower bound.

WE PROVE THAT FOR ANY TRACE CLASS OPERATORS, [FORMULA: see text].

It is generally taken for granted that two-dimensional critical phenomena can be fully classiied by the well known two-dimensional (rational) conformal quantum eld theories (CQFTs). In particular it is believed that in models with a continuous symmetry characterized by a Lie group G the continuum theory enjoys an enhanced symmetry GG due to the decoupling… (More)

In dimension D ≤ 2 the low temperature behavior of systems enjoying a continuous symmetry is dominated by super-instantons: classical configurations of arbitrarily low energy. Perturbation theory in the background of a super-instanton produces thermodynamic answers for the invariant Green's functions that differ from the standard ones, but only in… (More)

- Erhard Seiler
- 2001

We discuss some subtleties in connection with the new attempts to provide a firm basis for ths Witten-Veneziano formula.

- Erhard Seiler
- 2008

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum gravity and string theory.

- Erhard Seiler
- 2003

In this talk I give an overview of the work done during the last 15 years in collaboration with the late Adrian Patrascioiu. In this work we accumulated evidence against the commonly accepted view that theories with nonabelian symmetry – either two dimensional nonlinear σ models or four dimensional Yang-Mills theories – have the property of asymptotic… (More)

- M. Niedermaier, E. Seiler, P. Weisz
- 2009

Compact (ferro-and antiferromagnetic) sigma-models and noncompact (hy-perbolic) sigma-models are compared in a lattice formulation in dimensions d ≥ 2. While the ferro-and antiferromagnetic models are essentially equivalent , the qualitative difference to the noncompact models is highlighted. The perturbative and the large N expansions are studied in both… (More)

- C. S. Lin, A. L. Thring, J. Koga, E. J. Seiler
- J. Parallel Distrib. Comput.
- 1990

We discuss the apparent conflict between reflection positivity and pos-itivity of the topological susceptibility in two-dimensional nonlinear sigma models and in four-dimensional gauge theories. We pay special attention to the fact that this apparent conflict is already present on the lattice; its resolution puts some nontrivial restrictions on the… (More)