We discuss special perturbations of the gauged level k WZNW model inspired by the σ-model perturbation of the nonunitary WZNW model. In the large k limit there is a second conformal point in the vicinity of the ultarviolet fixed point. At the second critical point the conformal model has a rational Virasoro central charge which no longer corresponds to a coset construction. In spite of this fac...

In this paper we prove an abstract result about the minimization of nonsmooth functionals. Then we obtain some existence results for Neumann problems with discontinuities.

Following your need to always fulfil the inspiration to obtain everybody is now simple. Connecting to the internet is one of the short cuts to do. There are so many sources that offer and connect us to other world condition. As one of the products to see in internet, this website becomes a very available place to look for countless duality and perturbation methods in critical point theory sourc...

The concept of linking was developed to produce Palais-Smale (PS) sequencesG(uk)→ a, G′(uk)→ 0 for C1functionals G that separate linking sets. These sequences produce critical points if they have convergent subsequences (i.e., ifG satisfies the PS condition). In the past, we have shown that PS sequences can be obtained even when linking does not exist. We now show that such situations producemo...

We consider the φ quantum field theory in two and three spacetime dimensions. In the single phase region the physical mass (inverse correlation length) m(σ) decreases continuously to zero as the bare mass parameter σ approaches a critical value σc from above. In three dimensions the critical point σc is in the single phase region and the physical mass vanishes there, m(σc) = 0. A consequence of...

in this paper, we establish some results on the existence of at least three weak solutions for adirichlet problem involving p-laplacian using a variational approach.

We study the properties of the electroweak theory in the vicinity of the critical point — the endpoint of the first order phase transition line that exists in a wide class of theories, including the Standard Model and a part of the parameter space of the Minimal Supersymmetric Standard Model. We find that the critical point belongs to the 3d Ising universality class. The endpoint in the Standar...

We show, apart from a correlation inequality for the 6-point function, that the critical or continuum liinit of (11'4)4 lattice field theory is trivial, if some deviations from the mean field theory law are present at the critical point, and if we impose a mild behavior of bare 4-point coupling constant as we approach the critical point. These results are derived from the bounds on the renormal...