Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Brydges, David C."'
Publikováno v:
Lecture Notes in Mathematics, volume 2242, Springer 2019
This book provides an introduction to a renormalisation group method in the spirit of that of Wilson. It starts with a concise overview of the theory of critical phenomena and the introduction of several tools required in the renormalisation group ap
Externí odkaz:
http://arxiv.org/abs/1907.05474
We derive a continuous-time lace expansion for a broad class of self-interacting continuous-time random walks. Our expansion applies when the self-interaction is a sufficiently nice function of the local time of a continuous-time random walk. As a sp
Externí odkaz:
http://arxiv.org/abs/1905.09605
We give an overview of results on critical phenomena in 4 dimensions, obtained recently using a rigorous renormalisation group method. In particular, for the $n$-component $|\varphi|^4$ spin model in dimension 4, with small coupling constant, we prov
Externí odkaz:
http://arxiv.org/abs/1602.04048
Publikováno v:
Commun. Math. Phys., 337:817--877, (2015)
We prove that the susceptibility of the continuous-time weakly self-avoiding walk on $\mathbb{Z}^d$, in the critical dimension $d=4$, has a logarithmic correction to mean-field scaling behaviour as the critical point is approached, with exponent 1/4
Externí odkaz:
http://arxiv.org/abs/1403.7422
Publikováno v:
J. Stat. Phys, 157:692--742, (2014)
We consider the $n$-component $|\varphi|^4$ spin model on $\mathbb{Z}^4$, for all $n \geq 1$, with small coupling constant. We prove that the susceptibility has a logarithmic correction to mean field scaling, with exponent $\frac{n+2}{n+8}$ for the l
Externí odkaz:
http://arxiv.org/abs/1403.7424
Publikováno v:
Commun. Math. Phys., 338:169--193, (2015)
We prove $|x|^{-2}$ decay of the critical two-point function for the continuous-time weakly self-avoiding walk on $\mathbb{Z}^d$, in the upper critical dimension $d=4$. This is a statement that the critical exponent $\eta$ exists and is equal to zero
Externí odkaz:
http://arxiv.org/abs/1403.7268
This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. In this paper, we motivate and present a general approach towards se
Externí odkaz:
http://arxiv.org/abs/1403.7252
Autor:
Brydges, David C., Slade, Gordon
This paper is the fourth in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The third paper in the series presents a perturbative analysis of a
Externí odkaz:
http://arxiv.org/abs/1403.7255
Autor:
Brydges, David C., Slade, Gordon
This paper is the first in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. Our immediate motivation is a specific model, involving both boson a
Externí odkaz:
http://arxiv.org/abs/1403.7244
Autor:
Brydges, David C., Slade, Gordon
This paper is the second in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. The method is set within a normed algebra $\mathcal{N}$ of function
Externí odkaz:
http://arxiv.org/abs/1403.7253