Zobrazeno 1 - 10
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pro vyhledávání: '"O(N)"'
Autor:
Romatschke, Paul
In this work, I consider N-component scalar quantum field theory in two dimensions interacting with an upside-down quartic potential. Working in the large N limit, the model can be solved non-perturbatively using the saddle-point method for sufficien
Externí odkaz:
http://arxiv.org/abs/2412.10496
We study an $O(N)$ invariant surface defect in the Wilson-Fisher conformal field theory (CFT) in $d=4-\epsilon$ dimensions. This defect is defined by mass deformation on a two-dimensional surface that generates localized disorder and is conjectured t
Externí odkaz:
http://arxiv.org/abs/2411.16522
The study of phase transitions in frustrated magnetic systems with $O(N)\times O(2)$ symmetry has been the subject of controversy for more than twenty years, with theoretical, numerical and experimental results in disagreement. Even theoretical studi
Externí odkaz:
http://arxiv.org/abs/2411.02616
The behavior of many critical phenomena at large distances is expected to be invariant under the full conformal group, rather than only isometries and scale transformations. When studying critical phenomena, approximations are often required, and the
Externí odkaz:
http://arxiv.org/abs/2412.16388
Autor:
Moriya, Netzer
Efficient algorithms for solving the Smallest Enclosing Sphere (SES) problem, such as Welzl's algorithm, often fail to handle degenerate subsets of points in 3D space. Degeneracies and ill-posed configurations present significant challenges, leading
Externí odkaz:
http://arxiv.org/abs/2412.10120
We initiate the study of extended excitations in the long-range O(N) model. We focus on line and surface defects and we discuss the challenges of a naive generalization of the simplest defects in the short-range model. To face these challenges we pro
Externí odkaz:
http://arxiv.org/abs/2412.08697
Autor:
Baglioni, Paolo, Di Renzo, Francesco
The Non-Linear Sigma Model (NLSM) is an example of a field theory on a target space exhibiting intricate geometry. One remarkable characteristic of the NLSM is asymptotic freedom, which triggers interest in perturbative calculations. In the lattice f
Externí odkaz:
http://arxiv.org/abs/2412.02624
Autor:
Ikeda, Harukuni, Nakano, Hiroyoshi
We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we identify a new
Externí odkaz:
http://arxiv.org/abs/2412.02111