URL - StealthSkater
... Later it became clear that partons can be identified as light-like 3-surfaces. Typically 3-D light-like throats of wormhole contacts between space-time sheets analogous to blackhole horizons and possessing by their metric 2-dimensionality extended conformal symmetries are the proper model for parton ...
... Later it became clear that partons can be identified as light-like 3-surfaces. Typically 3-D light-like throats of wormhole contacts between space-time sheets analogous to blackhole horizons and possessing by their metric 2-dimensionality extended conformal symmetries are the proper model for parton ...
Quantum Field Theory on Curved Backgrounds. I
... The examples studied in this paper—scalar quantum field theories on static space-times—have physical relevance. A first approximation to a full quantum theory (involving the gravitational field as well as scalar fields) arises from treating the sources of the gravitational field classically and inde ...
... The examples studied in this paper—scalar quantum field theories on static space-times—have physical relevance. A first approximation to a full quantum theory (involving the gravitational field as well as scalar fields) arises from treating the sources of the gravitational field classically and inde ...
Slides
... may be described by A z, rather than by THE z, due to multiple time scales and/or dangerous irrelevant variables. Chennai Lectur ...
... may be described by A z, rather than by THE z, due to multiple time scales and/or dangerous irrelevant variables. Chennai Lectur ...
Fractional @ Scaling for Quantum Kicked Rotors without Cantori
... T-scaled map this would yield an infinite stochasticity constant K kT (but little insight). This RP-DKP limit has no mixed-phase-space behavior at all, but it retains the momentum trapping and its behavior is determined by the stochasticity parameter K . The map Eq. (1) has 2 periodicity in thes ...
... T-scaled map this would yield an infinite stochasticity constant K kT (but little insight). This RP-DKP limit has no mixed-phase-space behavior at all, but it retains the momentum trapping and its behavior is determined by the stochasticity parameter K . The map Eq. (1) has 2 periodicity in thes ...
Quantum phase transitions in atomic gases and condensed matter
... •Observed resonant response is due to gapless spectrum near quantum critical point(s). •Transverse superfluidity (smectic order) can be detected by looking for “Bragg lines” in momentum distribution function--bosons are phase coherent in the transverse direction. ...
... •Observed resonant response is due to gapless spectrum near quantum critical point(s). •Transverse superfluidity (smectic order) can be detected by looking for “Bragg lines” in momentum distribution function--bosons are phase coherent in the transverse direction. ...
Functional RG for few
... • one suggestion: integrate out fermions first then match onto purely bosonic theory [Diehl et al] but at what scale? ...
... • one suggestion: integrate out fermions first then match onto purely bosonic theory [Diehl et al] but at what scale? ...
Hydrodynamics and turbulence in classical and quantum fluids
... Dissipation: If no energy is supplied turbulence will decay rapidly. It needs to acquire energy from its environment. We will look at decaying turbulence in the quantum context in lecture 5. ...
... Dissipation: If no energy is supplied turbulence will decay rapidly. It needs to acquire energy from its environment. We will look at decaying turbulence in the quantum context in lecture 5. ...
Holographic Metals and the Fractionalized Fermi
... liquid state. Such a state was formally justified [17] in the quantum analog of the Sherrington-Kirkpatrick model, in which all the Jij are infinite-range, independent Gaussian random variables with variance J 2 =Ns (Ns is the number of sites, i). However, it has also been shown [14,24] that closely ...
... liquid state. Such a state was formally justified [17] in the quantum analog of the Sherrington-Kirkpatrick model, in which all the Jij are infinite-range, independent Gaussian random variables with variance J 2 =Ns (Ns is the number of sites, i). However, it has also been shown [14,24] that closely ...
Phys. Rev. Lett. 103, 265302
... in the XY universality class along its continuous segment rather than Ising. Landau theory.—The phase diagram in Fig. 2 displays an elaborate network of quantum critical points and phase transitions. This topology reveals an underlying structure that is succinctly captured by Landau theory. In the a ...
... in the XY universality class along its continuous segment rather than Ising. Landau theory.—The phase diagram in Fig. 2 displays an elaborate network of quantum critical points and phase transitions. This topology reveals an underlying structure that is succinctly captured by Landau theory. In the a ...
Scale invariance
In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilatations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity.In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale.In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.In statistical mechanics, scale invariance is a feature of phase transitions. The key observation is that near a phase transition or critical point, fluctuations occur at all length scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena. Such theories are scale-invariant statistical field theories, and are formally very similar to scale-invariant quantum field theories.Universality is the observation that widely different microscopic systems can display the same behaviour at a phase transition. Thus phase transitions in many different systems may be described by the same underlying scale-invariant theory.In general, dimensionless quantities are scale invariant. The analogous concept in statistics are standardized moments, which are scale invariant statistics of a variable, while the unstandardized moments are not.