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pro vyhledávání: '"Wheater, John"'
Autor:
Fraser-Taliente, Ludo, Wheater, John
We show that the conformal data of a range of large-$N$ CFTs, the melonic CFTs, are specified by constrained extremization of the universal part of the sphere free energy $F=-\log Z_{S^d}$, called $\tilde{F}$. This family includes the generalized SYK
Externí odkaz:
http://arxiv.org/abs/2412.10499
Autor:
Fraser-Taliente, Ludo, Wheater, John
We study a set of large-$N$ tensor field theories with a rich structure of fixed points, encompassing both the melonic and prismatic CFTs observed previously in the conformal limits of other tensor theories and in the generalised Sachdev-Ye-Kitaev (S
Externí odkaz:
http://arxiv.org/abs/2410.09152
We characterize the spectrum of the transition matrix for simple random walk on graphs consisting of a finite graph with a finite number of infinite Cayley trees attached. We show that there is a continuous spectrum identical to that for a Cayley tre
Externí odkaz:
http://arxiv.org/abs/2312.09833
In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in these models are calculated and their relationship with the structure
Externí odkaz:
http://arxiv.org/abs/2211.15247
Autor:
Wheater, John F., Xavier, P. D.
We consider the recently proposed Bound State Conjecture for quantum field theory in the context of solitons in two dimensional $\phi^4$ scalar field theory. We calculate the quantum correction to the size of the soliton which, taken together with th
Externí odkaz:
http://arxiv.org/abs/2207.01274
Autor:
Wheater, John F., Xavier, P. D.
We consider the model of hard dimers coupled to two-dimensional Causal Dynamical Triangulations (CDT) with all dimer types present and solve it exactly subject to a single restriction. Depending on the dimer weights there are, in addition to the usua
Externí odkaz:
http://arxiv.org/abs/2109.04414
We extend a recent analysis of the $q$-states Potts model on an ensemble of random planar graphs with $p\leqslant q$ allowed, equally weighted, spins on a connected boundary. In this paper we explore the $(q<4,p\leqslant q)$ parameter space of finite
Externí odkaz:
http://arxiv.org/abs/1911.00266
Akademický článek
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Publikováno v:
J.Phys. A49 (2016) 185201
We compute the partition function of the $q$-states Potts model on a random planar lattice with $p\leq q$ allowed, equally weighted colours on a connected boundary. To this end, we employ its matrix model representation in the planar limit, generalis
Externí odkaz:
http://arxiv.org/abs/1511.03657
Publikováno v:
Springer Proc.Phys. 170 (2016) 387-393
We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on the disc with both fixed and mixed spin boundary conditions. We invest
Externí odkaz:
http://arxiv.org/abs/1511.01525