- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Cosmology and Gravitation Theories
- Nonlinear Waves and Solitons
- Quantum many-body systems
- Particle physics theoretical and experimental studies
- Noncommutative and Quantum Gravity Theories
- Quantum Chromodynamics and Particle Interactions
- Computational Physics and Python Applications
- Quantum chaos and dynamical systems
- Relativity and Gravitational Theory
- Theoretical and Computational Physics
- Physics of Superconductivity and Magnetism
- Spectral Theory in Mathematical Physics
- Homotopy and Cohomology in Algebraic Topology
- Quantum and Classical Electrodynamics
- Quantum Computing Algorithms and Architecture
- Geometry and complex manifolds
- Quantum, superfluid, helium dynamics
- Advanced Differential Geometry Research
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Topics in Algebra
- Topological Materials and Phenomena
- Advanced Numerical Methods in Computational Mathematics
- Cold Atom Physics and Bose-Einstein Condensates
Rutgers, The State University of New Jersey
2006-2020
University of Iceland
2003-2020
Rutgers Sexual and Reproductive Health and Rights
2017
Astronomy and Space
1987-2009
University of Chicago
1984-1989
Fermi National Accelerator Laboratory
1986-1987
University of California, Berkeley
1980-1985
AT&T (United States)
1985
Institut de Physique Théorique
1982
Lawrence Berkeley National Laboratory
1980-1981
Conformal invariance and unitarity severely limit the possible values of critical exponents in two-dimensional systems.Received 31 January 1984DOI:https://doi.org/10.1103/PhysRevLett.52.1575©1984 American Physical Society
A generalization of the nonlinear $\ensuremath{\sigma}$ model is considered. The field takes values in a compact manifold $M$ and coupling determined by Riemannian metric on $M$. renormalizable $2+\ensuremath{\epsilon}$ dimensions, renormalization group acting infinite-dimensional space metrics. Topological properties $\ensuremath{\beta}$ function solutions fixed-point equation...
The boundary beta function generates the renormalization group acting on universality classes of one-dimensional quantum systems with which are critical in bulk but not at boundary. We prove a gradient formula for function, expressing it as entropy s fixed nonzero temperature. implies that decreases under renormalization, except points (where stays constant). At point, number exp((s) is "ground-state degeneracy," g, Affleck and Ludwig, so we have proved their long-standing conjecture g from...
A review of Boundary and defect conformal field theory: open problems applications, following a workshop held at Chicheley Hall, Buckinghamshire, UK, 7–8 Sept. 2017. We attempt to provide broad, bird's-eye view the latest progress in boundary theory various sub-fields theoretical physics, including renormalization group, integrability, bootstrap, topological theory, supersymmetry, holographic duality, more. also discuss questions promising research directions each these sub-fields,...
Random walks in two-dimensional environments with a positionally random drift force are analyzed. If the is constrained to be divergence-free, then mean-square displacement superdiffusive 〈${x}^{{2}^{\mathrm{}(t)}}$\ifmmode\bar\else\textasciimacron\fi{}〉\ensuremath{\sim}t (lnt${)}^{1/2}$. addition has component which curl-free, there two cases: components independent, long-time behavior diffusive only logarithmic corrections; on other hand, if of are, respectively, parallel and perpendicular...