Renormalization Group '91

Proceedings of the Second International Conference

Second International Conference

, Dubna, Russia

, 3 – 6 September 1991

https://doi.org/10.1142/1596 | April 1992

Pages: 372

Edited by:
D V Shirkov (JINR, Dubna, Russia) and
V B Priezzhev (JINR, Dubna, Russia)

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ISBN: 978-981-4555-24-1 (ebook) USD 46.00 Add to cart

The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models. Also discussed are applications to related topics such as quantum field theory and chromodynamics, high temperature superconductivity and plasma physics.

Contents:

RG in Chern-Simons Field Theories and High-temperature Superconductivity (L V Avdeev & D I Kazakov)
The Three-Loop QED Photon Vacuum Polarization Function in the MS-Scheme and the Four-Loop QED β-Function in the On-Shell Scheme (S G Gorishny et al)
Method of Effective Charges and Brodsky-Lepage-MacKenzie Criterion (G Grunberg)
Critical Exponents for Ising-Like Systems in Non-Integer Dimensions from Field Theory (Yu Holovatch & M Shpot)
Scaling in Superconductors: Three-loop RG Expansions for a Three-Dimensional Model with Three Coupling Constants (S A Antonenko & A I Sokolov)
A Renormalization Group Analysis of Frustrated Non-Collinear Magnets (P Azaria & B Delamotte)
Critical Properties of the N-Vector Model Near Large-Scale Defects (R Z Bariev && I Z Ilaldinov)
Dynamics of the Inhomogeneous Excitations in the One-Dimensional Isotropic X-Y Model of Spin s=1/2 (G O Berim)
The Principle of Maximal Randomness in the Theory of Fully Developed Turbulence (L Ts Adzhemyan & M Yu Nalimov)
Chaotic Renormalization Group Transformations (P H Damagaard)
Symmetry Breaking Bifurcations in Chaotic Systems (P Grassberger & A S Pikovsky)
The Renormalization Group Method Based on Group Analysis (V F Kovalev et al)
and other papers

Readership: Theoretical, statistical, mathematical and nuclear physics.

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RENORMALIZATION GROUP '91: Proceedings of the Second International Conference

D V Shirkov and
V B Priezzhev

Pages:1–373

https://doi.org/10.1142/9789814537940

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The Table of Contents for the full book PDF is as follows:

Preface
Several topics on renorm-group theory
I. Quantum field theory
- RG in Chern-Simons field theories and high-temperature superconductivity
- The three-loop QED photon vacuum polarization function in the -scheme and the four-loop QED β-function in the on-shell scheme
- Method of effective charges and Brodsky-Lepage-MacKenzie criterion
- Critical exponents for Ising-like systems in non-integer dimensions from field theory
- An analogue of the c-theorem in four dimensions
- On the hamiltonian and the ground state of the pseudo-scalar field: A possible alternative to regularizations
- Dimensional crossover, the renormalization group and finite size scaling
- R-operation via asymptotic expansions
- (4-d)-expansion in p-adic and adelic field models
- Double scaling limit and fixed points in O(N) vector models
- Local renormalization group equations in quantum field theory
- Four fermion interaction near four dimensions
II. Statistical mechanics
- Scaling in superconductors: Three-loop RG expansions for a Three-dimensional model with Three coupling constants
- A renormalization group analysis of frustrated non-collinear magnets
- Critical properties of the N-vector model near large-scale defects
- Dynamics of the inhomogeneous excitations in the one-dimensional isotropic X-Y model of spin s=1/2
- Renormalization of polymer networks and stars
- Renormalization of the ‘true’ self-avoiding random walk (TSAW) model
- Renormalization group in gyrotropic magnetic hydrodynamics
- Renormalization-group induced convergence for divergent sequences
- Canonical formalism and renorm group
- Exact renormalization group results for vesicles on the lattice
III. Nonlinear systems, Turbulence and Chaos
- The principle of maximal randomness in the theory of fully developed turbulence
- Chaotic renormalization group transformations
- Symmetry breaking bifurcations in chaotic systems
- The renormalization group method based on group analysis
- Energy cascade in the dissipative range of the fluid turbulence
- Creation and annihilation of solitons in nonlinear integrable systems
- On the method of determining relations
List of participants