Variational resummation for epsilon-expansions of critical exponents of nonlinear O(n)-symmetric sigma-model in 2+epsilon dimensions

Kleinert H.

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Variational resummation for epsilon-expansions of critical exponents of nonlinear O(n)-symmetric sigma-model in 2+epsilon dimensions

机译：非线性O（n）对称sigma模型的临界指数在2 +ε维上的ε展开的变分恢复

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We develop a method for extracting accurate critical exponents from perturbation expansions of the O(n)-symmetric nonlinear sigma-model in D = 2 + epsilon dimensions. This is possible by considering the E-expansions in this model as strong-coupling expansions of functions of the variable <(epsilon)over tilde> equivalent to 2(4 - D)/(D - 2), whose first five weak-coupling expansion coefficients of powers of <(epsilon)over tilde> are known from epsilon-expansions of critical exponents in O(n)-symmetric phi(4)-theory in D = 4 - epsilon dimensions. (C) 2000 Published by Elsevier Science B.V. All rights reserved. [References: 41]

机译：我们开发了一种方法，可以从D = 2 +ε尺寸的O（n）对称非线性sigma模型的摄动展开中提取准确的临界指数。通过将此模型中的E展开视为等于2（4-D）/（D-2）的变量<（ε）上的代数的函数的强耦合展开，这是可能的，该函数的前五个弱耦合从O（n）对称phi（4）-理论中D =4-ε尺寸的O（n）对称phi临界指数的epsilon展开中可以知道的幂的膨胀系数。（C）2000，Elsevier Science B.V.保留所有权利。 [参考：41]

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《Physics Letters, A》 |2000年第5期|共9页
作者
Kleinert H.;
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正文语种 eng
中图分类物理学;
关键词
Optimized delta-expansion; Renormalization-group functions; Connected vacuum amplitude; Strong-coupling expansions; Metric beta-function; Anharmonic-oscillator; Perturbation expansion; Convergence proof; Zero dimensions; Phi(4)-theory;

机译：优化的德尔塔展开;归一化组函数;连通真空幅度;强耦合展开;公制β函数;非谐振子;摄动展开;收敛性;零维;Phi（4）-理论;

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专利

1. Variational resummation for epsilon-expansions of critical exponents of nonlinear O(n)-symmetric sigma-model in 2+epsilon dimensions [J] . Kleinert H. Physics Letters, A . 2000,第5期

机译：非线性O（n）对称sigma模型的临界指数在2 +ε维上的ε展开的变分恢复
2. Precise critical exponents of the O(N)-symmetric quantum field model using hypergeometric-Meijer resummation [J] . Abouzeid M. Shalaby Physical review, D . 2020,第10期

机译：使用HyperGeometic-Meijer Resimation的O（n）-s-mymmetric量子域模型的精确临界指数
3. Fast-convergent resummation algorithm and critical exponents of phi(4)-theory in three dimensions [J] . Jasch F., Kleinert H. Journal of Mathematical Physics . 2001,第1期

机译：三维phi（4）-理论的快速收敛恢复算法和关键指数
4. Critical Exponents of the Two Dimensional Melting [C] . H. Watanabe, S. Yukawa, Y. Ozeki, Workshop on Computer Simulation Studies in Condensed-Matter Physics XVI . 2004

机译：二维熔化的临界指数
5. Critical exponents for nonlinear wave equations with damping. [D] . Yordanov, Borislav Tsonev. 2002

机译：带有阻尼的非线性波动方程的临界指数。
6. Three-Dimensional Structures of the Spatiotemporal Nonlinear Schrödinger Equation with Power-Law Nonlinearity in PT-Symmetric Potentials [O] . Chao-Qing Dai, Yan Wang -1

机译：PT对称势中具有幂律非线性的时空非线性Schrödinger方程的三维结构
7. Variational Resummation of $\epsilon$-Expansions of Critical Exponents of Nonlinear O(N)-Symmetric $\sigma$-Model in $2+\epsilon$ Dimensions [O] . Kleinert, Hagen 1999

机译：$ \ epsilon $ -Expansions的关键指数的变化 $ 2 + \ epsilon $ Dimensions中的非线性O（N） - 对称$ \ sigma $ -model

Variational resummation for epsilon-expansions of critical exponents of nonlinear O(n)-symmetric sigma-model in 2+epsilon dimensions

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