2007, Oxford graduate texts, ISBN 0199227195, xii, 452

This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees...

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Book

1992, 1, Frontiers in physics, ISBN 0201554097, Volume 85, xx, 394

Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate...

Phase transformations (Statistical physics) | Renormalization group | Physics

Phase transformations (Statistical physics) | Renormalization group | Physics

Book

Annals of Physics, ISSN 0003-4916, 12/2007, Volume 322, Issue 12, pp. 2831 - 2915

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how...

Renormalisation group methods | Renormalisation group evolution of parameters | Gauge field theories | Renormalisation | gauge field theories | YANG-MILLS THEORY | 2PI EFFECTIVE ACTION | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | COMPOSITE-OPERATORS | GAUGE-INVARIANT | SCHEME INDEPENDENCE | WILSONIAN FLOWS | PHI-DERIVABLE APPROXIMATIONS | renormalisation group evolution of parameters | renormalisation group methods | renormalisation | NONPERTURBATIVE RENORMALIZATION | Mathematics | Theory | Physics | Optimization | Quantum theory | CORRELATION FUNCTIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | EQUATIONS OF MOTION | OPTIMIZATION | QUANTUM FIELD THEORY | GAUGE INVARIANCE | RENORMALIZATION

Renormalisation group methods | Renormalisation group evolution of parameters | Gauge field theories | Renormalisation | gauge field theories | YANG-MILLS THEORY | 2PI EFFECTIVE ACTION | PERTURBATIVE RENORMALIZATION | PHYSICS, MULTIDISCIPLINARY | FLOW EQUATIONS | COMPOSITE-OPERATORS | GAUGE-INVARIANT | SCHEME INDEPENDENCE | WILSONIAN FLOWS | PHI-DERIVABLE APPROXIMATIONS | renormalisation group evolution of parameters | renormalisation group methods | renormalisation | NONPERTURBATIVE RENORMALIZATION | Mathematics | Theory | Physics | Optimization | Quantum theory | CORRELATION FUNCTIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SYMMETRY | EQUATIONS OF MOTION | OPTIMIZATION | QUANTUM FIELD THEORY | GAUGE INVARIANCE | RENORMALIZATION

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 03/2012, Volume 136, Issue 12, pp. 124121 - 124121-17

We extend the spin-adapted density matrix renormalization group (DMRG) algorithm of McCulloch and Gulacsi [ Europhys. Lett. 57 , 852 ( 2002 )]...

chromium | CONFIGURATION-INTERACTION | THERMOCHEMISTRY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | quantum chemistry | FE2S2 | CR-2 | iron compounds | reaction kinetics theory | eigenvalues and eigenfunctions | SPACE | PERTURBATION-THEORY | CHROMIUM DIMER | negative ions | excited states | GRAPHICAL APPROACH | renormalisation | organic compounds | wave functions | POTENTIAL-ENERGY CURVE | ELECTRON CORRELATION

chromium | CONFIGURATION-INTERACTION | THERMOCHEMISTRY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | quantum chemistry | FE2S2 | CR-2 | iron compounds | reaction kinetics theory | eigenvalues and eigenfunctions | SPACE | PERTURBATION-THEORY | CHROMIUM DIMER | negative ions | excited states | GRAPHICAL APPROACH | renormalisation | organic compounds | wave functions | POTENTIAL-ENERGY CURVE | ELECTRON CORRELATION

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 5/2015, Volume 159, Issue 3, pp. 589 - 667

This paper is the fifth in a series devoted to the development of a rigorous renormalisation group method applicable to lattice field theories containing boson...

82B27 | 82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | Critical phenomena | Physics | Self-avoiding walk | 4 DIMENSIONS | FINITE-RANGE DECOMPOSITION | GAUSSIAN FIELDS | DIPOLE GAS | PHYSICS, MATHEMATICAL | LATTICE

82B27 | 82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | Critical phenomena | Physics | Self-avoiding walk | 4 DIMENSIONS | FINITE-RANGE DECOMPOSITION | GAUSSIAN FIELDS | DIPOLE GAS | PHYSICS, MATHEMATICAL | LATTICE

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 02/2009, Volume 79, Issue 8

We study the limits of the energy resolution that can be achieved in the calculations of spectral functions of quantum impurity models using the numerical...

DILUTE MAGNETIC-ALLOYS | PHYSICS, CONDENSED MATTER | KONDO MODEL | SINGLE-PARTICLE | INFINITE DIMENSIONS | IMPURITY ANDERSON MODEL | Hubbard model | electron-phonon interactions | HUBBARD-MODEL | impurity states | STATIC PROPERTIES | Kondo effect | SYSTEMS | Anderson model | renormalisation | EXCITATION-SPECTRA | SUPERCONDUCTORS | Physics - Strongly Correlated Electrons

DILUTE MAGNETIC-ALLOYS | PHYSICS, CONDENSED MATTER | KONDO MODEL | SINGLE-PARTICLE | INFINITE DIMENSIONS | IMPURITY ANDERSON MODEL | Hubbard model | electron-phonon interactions | HUBBARD-MODEL | impurity states | STATIC PROPERTIES | Kondo effect | SYSTEMS | Anderson model | renormalisation | EXCITATION-SPECTRA | SUPERCONDUCTORS | Physics - Strongly Correlated Electrons

Journal Article

1995, Physics notes, ISBN 0691044473, Volume 1, viii, 142

Book

Journal of Statistical Physics, ISSN 0022-4715, 5/2015, Volume 159, Issue 3, pp. 492 - 529

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,...

Perturbation theory | 82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | 82B41 | 81T60 | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | 60K35 | Physics | Self-avoiding walk | FINITE-RANGE DECOMPOSITION | PHYSICS, MATHEMATICAL

Perturbation theory | 82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | 82B41 | 81T60 | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | 60K35 | Physics | Self-avoiding walk | FINITE-RANGE DECOMPOSITION | PHYSICS, MATHEMATICAL

Journal Article

Annals of Physics, ISSN 0003-4916, 09/2017, Volume 384, pp. 165 - 197

The Renormalisation Group is a versatile tool for the study of many systems where scale-dependent behaviour is important. Its functional formulation can be...

Functional renormalisation group | Renormalisation group | OPTIMIZATION | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | ACTION INTEGRAL | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | FUNCTIONALS | RELATIVISTIC RANGE | RENORMALIZATION

Functional renormalisation group | Renormalisation group | OPTIMIZATION | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | ACTION INTEGRAL | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | FUNCTIONALS | RELATIVISTIC RANGE | RENORMALIZATION

Journal Article

Journal of Physics G: Nuclear and Particle Physics, ISSN 0954-3899, 05/2017, Volume 44, Issue 7, p. 75002

The functional renormalisation group approach is applied to a system of kaons with finite chemical potential. A set of approximate flow equations for the...

phase transitions | Kaon | functional renormalisation group | PHYSICS, NUCLEAR | kaon | PHYSICS, PARTICLES & FIELDS

phase transitions | Kaon | functional renormalisation group | PHYSICS, NUCLEAR | kaon | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 01/2010, Volume 132, Issue 2, pp. 024105 - 024105-9

We describe the joint application of the density matrix renormalization group and canonical transformation theory to multireference quantum chemistry. The...

ANO BASIS-SETS | DICOPPER COMPLEXES | COUPLED-CLUSTER METHOD | REFERENCE STATE | AB-INITIO | SCHRODINGER-EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | quantum chemistry | isomerisation | PERTURBATION-THEORY | positive ions | UNITARY-GROUP-APPROACH | FUNCTIONAL THEORY | configuration interactions | copper compounds | MOLECULAR WAVE-FUNCTIONS | renormalisation | organic compounds | isomerism

ANO BASIS-SETS | DICOPPER COMPLEXES | COUPLED-CLUSTER METHOD | REFERENCE STATE | AB-INITIO | SCHRODINGER-EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | quantum chemistry | isomerisation | PERTURBATION-THEORY | positive ions | UNITARY-GROUP-APPROACH | FUNCTIONAL THEORY | configuration interactions | copper compounds | MOLECULAR WAVE-FUNCTIONS | renormalisation | organic compounds | isomerism

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 5/2015, Volume 159, Issue 3, pp. 530 - 588

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,...

82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | 82B41 | 81T60 | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | Critical phenomena | Physics | Self-avoiding walk | FIELDS | BEHAVIOR | GAS | PHYSICS, MATHEMATICAL

82B28 | Physical Chemistry | Theoretical, Mathematical and Computational Physics | 82B41 | 81T60 | Quantum Physics | Renormalisation group | Statistical Physics, Dynamical Systems and Complexity | Critical phenomena | Physics | Self-avoiding walk | FIELDS | BEHAVIOR | GAS | PHYSICS, MATHEMATICAL

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 09/2015, Volume 32, Issue 17, pp. 175012 - 175029

The D-colored version of tensor models has been shown to admit a large N-limit expansion. The leading contributions result from so-called melonic graphs which...

tensorial group field theory | two-point correlation functions | 1/N-expansion | SchwingerDyson equation | renormalization | QUANTUM SCIENCE & TECHNOLOGY | BETA-FUNCTION | PHYSICS, MULTIDISCIPLINARY | ALGEBRA | EQUATIONS | Schwinger-Dyson equation | MODELS | ASTRONOMY & ASTROPHYSICS | 1/N EXPANSION | PHYSICS, PARTICLES & FIELDS | Tensors | Correlation | Approximation | Mathematical analysis | Graphs | Field theory | Mathematical models | Quantum gravity | Physics - High Energy Physics - Theory | Mathematical Physics | High Energy Physics - Theory | Physics

tensorial group field theory | two-point correlation functions | 1/N-expansion | SchwingerDyson equation | renormalization | QUANTUM SCIENCE & TECHNOLOGY | BETA-FUNCTION | PHYSICS, MULTIDISCIPLINARY | ALGEBRA | EQUATIONS | Schwinger-Dyson equation | MODELS | ASTRONOMY & ASTROPHYSICS | 1/N EXPANSION | PHYSICS, PARTICLES & FIELDS | Tensors | Correlation | Approximation | Mathematical analysis | Graphs | Field theory | Mathematical models | Quantum gravity | Physics - High Energy Physics - Theory | Mathematical Physics | High Energy Physics - Theory | Physics

Journal Article

1992, Oxford science publications., ISBN 0198513933, xii, 464

Book

Canadian Journal of Physics, ISSN 0008-4204, 2018, Volume 96, Issue 11, pp. 1205 - 1208

The summation of logarithmic contributions to perturbative radiative corrections in physical processes through use of the renormalization group equation has...

decoupling | Carrazone | renormalization | Appelquist | renormalisation | découplage | schemes | schémas | Applequist | Schemes | Renormalization | Decoupling | INFRARED SINGULARITIES | QCD | PHYSICS, MULTIDISCIPLINARY | 3-LOOP RELATION | (MS)OVER-BAR | QUARK | Research | Logarithms | Perturbation (Mathematics) | Methods | Renormalization (Physics) | Quantum chromodynamics | Studies | Massifs | Mathematics | Physics

decoupling | Carrazone | renormalization | Appelquist | renormalisation | découplage | schemes | schémas | Applequist | Schemes | Renormalization | Decoupling | INFRARED SINGULARITIES | QCD | PHYSICS, MULTIDISCIPLINARY | 3-LOOP RELATION | (MS)OVER-BAR | QUARK | Research | Logarithms | Perturbation (Mathematics) | Methods | Renormalization (Physics) | Quantum chromodynamics | Studies | Massifs | Mathematics | Physics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2017, Volume 481, pp. 34 - 40

We study the one-dimensional Potts model with long-range interactions decaying with distance r as r1+σ. An extended mean-field renormalisation-group procedure...

Mean-field renormalisation group | Potts model | Long-range interactions | Classical spin models | CRITICAL-BEHAVIOR | PHYSICS, MULTIDISCIPLINARY

Mean-field renormalisation group | Potts model | Long-range interactions | Classical spin models | CRITICAL-BEHAVIOR | PHYSICS, MULTIDISCIPLINARY

Journal Article

2005, 3rd ed., ISBN 9789812561091, xxi, 543

Book