Cutoff effects in lattice actions at µ ≠ 0

P. Hegdea; F. Karsch; E. Laermann; S. Scheredin

doi:10.1007/s12648-011-0030-x

Cutoff effects in lattice actions at µ ≠ 0

Indian Journal of Physics ◽

10.1007/s12648-011-0030-x ◽

2011 ◽

Vol 85 (1) ◽

pp. 129-134

Author(s):

P. Hegdea ◽

F. Karsch ◽

E. Laermann ◽

S. Scheredin

Keyword(s):

Lattice Actions

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Improved lattice actions with chemical potential

Nuclear Physics A ◽

10.1016/s0375-9474(98)00526-0 ◽

1998 ◽

Vol 642 (1-2) ◽

pp. c275-c281 ◽

Cited By ~ 5

Author(s):

W. Bietenholz

Keyword(s):

Chemical Potential ◽

Lattice Actions

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Perturbative construction and rigorous proof of locality of effective lattice actions for continuum theories

Nuclear Physics B ◽

10.1016/0550-3213(84)90097-x ◽

1984 ◽

Vol 235 (2) ◽

pp. 172-196

Author(s):

Constantin P. Bachas

Keyword(s):

Rigorous Proof ◽

Continuum Theories ◽

Lattice Actions

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Improved lattice actions and physical quantities

Physics Letters B ◽

10.1016/0370-2693(83)90736-0 ◽

1983 ◽

Vol 129 (1-2) ◽

pp. 95-98 ◽

Cited By ~ 10

Author(s):

R. Musto ◽

F. Nicodemi ◽

R. Pettorino

Keyword(s):

Lattice Actions ◽

Physical Quantities

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Local rigidity of Anosov higher-rank lattice actions

Ergodic Theory and Dynamical Systems ◽

10.1017/s014338579810826x ◽

1998 ◽

Vol 18 (3) ◽

pp. 687-702 ◽

Cited By ~ 2

Author(s):

NANTIAN QIAN ◽

CHENGBO YUE

Keyword(s):

Abelian Group ◽

Lyapunov Functional ◽

Rigidity Result ◽

Absolute Value ◽

Local Rigidity ◽

Higher Rank ◽

Standard Action ◽

Lattice Actions

Let $\rho_0$ be the standard action of a higher-rank lattice $\Gamma$ on a torus by automorphisms induced by a homomorphism $\pi_0:\Gamma\to SL(n,{\Bbb Z})$. Assume that there exists an abelian group ${\cal A}\subset \Gamma$ such that $\pi_0({\cal A})$ satisfies the following conditions: (1) ${\cal A}$ is ${\Bbb R}$-diagonalizable; (2) there exists an element $a\in {\cal A}$, such that none of its eigenvalues $\lambda_1,\dots,\lambda_n$ has unit absolute value, and for all $i,j,k=1,\dots,n$, $|\lambda_i\lambda_j|\neq|\lambda_k|$; (3) for each Lyapunov functional $\chi_i$, there exist finitely many elements $a_j\in {\cal A}$ such that $E_{\chi_i}=\cap_{j} E^u(a_j)$ (see \S1 for definitions). Then $\rho_0$ is locally rigid. This local rigidity result differs from earlier ones in that it does not require a certain one-dimensionality condition.

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