We show how to couple two critical Q-state Potts models to yield a new self-dual critical point. We also present strong evidence of a dense critical phase near this critical point when the Potts models are defined in their completely packed loop representations. In the continuum limit, the new critical point is described by an SU(2) coset conformal field theory, while in this limit of the the c...

The raise and peel model is a one-dimensional stochastic model of a fluctuating interface with nonlocal interactions. This is an interesting physical model, in this paper we review its properties. It’s phase diagram has a massive phase and a gapless phase with varying critical exponents. At the phase transition point, the model exhibits conformal invariance which is a space-time symmetry. Also ...

Transfer-matrix methods are used, in conjunction with finite-size scaling and conformal invariance concepts, to generate an accurate phase diagram for a two-dimensional square-lattice Ising spin-1/2 magnet, with couplings which are positive along one coordinate axis and negative along the other, in a uniform external field. Our results indicate that the critical line starts horizontally at the ...

We review some recent progress in our understanding of the phase diagram of non abelian gauge theories, by varying their flavor content – fermion representations and the number of flavors. In particular, we explore the way conformal symmetry can be restored before the loss of asymptotic freedom, and through a subtle interplay of perturbation theory, chiral dynamics and confining forces. It is w...

Boundary critical phenomena are studied in the 3State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and orbifold methods. Besides the previously known free, fixed and mixed boundary conditions a new one is obtained. This illustrates the necessity of considering f...

The Q-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general Q ≥ 3 special choices of these magnetic fields produce effective models with smaller Z(Q) symmetry (Q < Q). The phase diagram of these models and their critical behaviour are explored by conventional finite-size scaling and conformal invariance. The possibility of multicritical behavior...

We show that detailed exploration of the 1 < z < 2 redshift region can provide for definitive testing not only of the standard inflationary cosmological paradigm with its fine-tuned cosmological constant and its mysteriously late (z < 1) onset of cosmic acceleration, but also for the non finetuned, alternate conformal cosmological model, a cosmology which accelerates both above and below z = 1....

background : this study determines the efficacy and tolerability of hypofraction- ated three-dimensional conformal radiotherapy in conjunction with daily temozolomide in treatment of previously irradiated recurrent malignant glioma. methods :we enrolled 21 patients diagnosed with recurrent or progressive malignant glioma who previously underwent external beam irradiation. all patients had hypof...

In the perturbative formulation of string theory the partition function in the background of D-branes can be expanded as Z string = g,b g −2+2g+b s Z g,b. (1) Here Z g,b is the value of the diagram given by a Riemann surface of genus g with b boundary components. One way to compute the numbers Z g,b is to work in conformal gauge. In this gauge one obtains a conformal field theory (CFT) living o...

Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the corresponding Wilson line operator is then determined by the potential energy of the charges. To study the...