Hwa-Tung Nieh
... 4. The dual CFT (quiver SU(N) gauge theory) is known for some ƒ 5. By tuning ƒ we can reproduce different phase transitions ...
... 4. The dual CFT (quiver SU(N) gauge theory) is known for some ƒ 5. By tuning ƒ we can reproduce different phase transitions ...
Finite temperature correlations of the Ising chain in transverse field
... the roles of x and τ i.e. they consider models of finite spatial length Lx , and infinite temporal length, so that the system is in its ground state. For us, the spatial extent is infinite, and there is a finite length 1/T along the τ direction, with the correlator (23) periodic in τ with period 1/T ...
... the roles of x and τ i.e. they consider models of finite spatial length Lx , and infinite temporal length, so that the system is in its ground state. For us, the spatial extent is infinite, and there is a finite length 1/T along the τ direction, with the correlator (23) periodic in τ with period 1/T ...
Large-Field Inflation - Naturalness and String Theory
... 2 a + Q(n−1) an−1 + · · · + Q(0) )2 (Q p0 minimizes f (χ, the . . . ) |F̃6 | term at zero. ! More generally,+there · · · ∼should f˜(χ, . . be . ) ainteresting for a %configu ...
... 2 a + Q(n−1) an−1 + · · · + Q(0) )2 (Q p0 minimizes f (χ, the . . . ) |F̃6 | term at zero. ! More generally,+there · · · ∼should f˜(χ, . . be . ) ainteresting for a %configu ...
Anderson transition ???????? Critical Statistics
... Spectral correlations of classically chaotic Hamiltonian are universally described by random matrix theory. With the help of the one parameter scaling theory we propose an alternative characterization of this universality class. It is also identified the universality class associated to the metal-in ...
... Spectral correlations of classically chaotic Hamiltonian are universally described by random matrix theory. With the help of the one parameter scaling theory we propose an alternative characterization of this universality class. It is also identified the universality class associated to the metal-in ...
241 Quantum Field Theory in terms of Euclidean Parameters
... confine ourselves to local fields. When we consider the internal structure of elementary particles, the Minkowski space is very inconvenient, because invariant domains are unbounded. On the contrary, the Euclidean space seems to be adequate to describe the internal structure, as invariant domains ar ...
... confine ourselves to local fields. When we consider the internal structure of elementary particles, the Minkowski space is very inconvenient, because invariant domains are unbounded. On the contrary, the Euclidean space seems to be adequate to describe the internal structure, as invariant domains ar ...
slides - p-ADICS.2015
... The main task of AQC is to describe the very early stage in the evolution of the Universe. At this stage, the Universe was in a quantum state, which should be described by a wave function (complex valued and depends on some real parameters). But, QC is related to Planck scale phenomena - it is natur ...
... The main task of AQC is to describe the very early stage in the evolution of the Universe. At this stage, the Universe was in a quantum state, which should be described by a wave function (complex valued and depends on some real parameters). But, QC is related to Planck scale phenomena - it is natur ...
Asymptotic Freedom and Quantum
... This fact cast some doubts on the validity of the original explanation of the Meissner effect within the BCS theory, which, though well motivated on physical grounds, was not gauge invariant. Nambu finally put these doubts to rest after earlier contributions by Philip Anderson (Nobel Prize, 1977) an ...
... This fact cast some doubts on the validity of the original explanation of the Meissner effect within the BCS theory, which, though well motivated on physical grounds, was not gauge invariant. Nambu finally put these doubts to rest after earlier contributions by Philip Anderson (Nobel Prize, 1977) an ...
TALK - ECM-UB
... The scale μ cannot be set from first principles. Assuming the convergence of tboth series, and using the studies of cosmologies with running ρΛ and G, in the formalism of QFT in curved space-time, one generally gets C1 ~ m2max, C2 ~ Nb – Nf ~1, C3 ~ 1/m2min etc., and ...
... The scale μ cannot be set from first principles. Assuming the convergence of tboth series, and using the studies of cosmologies with running ρΛ and G, in the formalism of QFT in curved space-time, one generally gets C1 ~ m2max, C2 ~ Nb – Nf ~1, C3 ~ 1/m2min etc., and ...
Unveiling the quantum critical point of an Ising chain
... Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is a textbook model undergoing such a transition, from ferromagnetic to paramagnetic state. This model can be exactly solved by using a Jordan-Wigner transf ...
... Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is a textbook model undergoing such a transition, from ferromagnetic to paramagnetic state. This model can be exactly solved by using a Jordan-Wigner transf ...
Phase-Space Dynamics of Semiclassical Spin
... Equations (16) are two of Maxwell’s equations for the electromagnetic fields E and B, containing the spin contribution to the internal magnetic field of the system stemR P ming from the term ( d1 3j1 fj 1Bj 1 in the Hamiltonian (15). Note that this Hamiltonian is just the sum of the kinetic ene ...
... Equations (16) are two of Maxwell’s equations for the electromagnetic fields E and B, containing the spin contribution to the internal magnetic field of the system stemR P ming from the term ( d1 3j1 fj 1Bj 1 in the Hamiltonian (15). Note that this Hamiltonian is just the sum of the kinetic ene ...
Higher Spin Theories and Holography
... gauge symmetries requires that the spectrum contains an infinite tower of higher spin fields • In the simplest version of the 4d theory, the spectrum around the AdS vacuum solution is ...
... gauge symmetries requires that the spectrum contains an infinite tower of higher spin fields • In the simplest version of the 4d theory, the spectrum around the AdS vacuum solution is ...
Semi-local Quantum Liquids
... Could the strange metal phase of cuprates and certain critical behavior of heavy fermions be due to an intermediate-energy phase such as SLQL? SLQL offers novel superconducting instabilities, could Superconductivity in cuprates or certain heavy fermion materials be of similar origin? More generally, ...
... Could the strange metal phase of cuprates and certain critical behavior of heavy fermions be due to an intermediate-energy phase such as SLQL? SLQL offers novel superconducting instabilities, could Superconductivity in cuprates or certain heavy fermion materials be of similar origin? More generally, ...
Equations of State with a chiral critical point
... • Fluctuations are interesting and provide essential information on the critical point. • Fluctuations are enhanced on a flyby of the critical point. • There is clearly plenty of work for both theorists and experimentalists! Supported by the Office Science, U.S. Department of Energy. ...
... • Fluctuations are interesting and provide essential information on the critical point. • Fluctuations are enhanced on a flyby of the critical point. • There is clearly plenty of work for both theorists and experimentalists! Supported by the Office Science, U.S. Department of Energy. ...
5 The Renormalization Group
... a theory where all the β-functions vanish. That is, we consider a special action where the initial couplings are tuned to particular values gi0 = gi∗ such that βj |gj =gi∗ = 0, so that the couplings for this particular theory in fact do not depend on scale. Such a theory is known as a critical point ...
... a theory where all the β-functions vanish. That is, we consider a special action where the initial couplings are tuned to particular values gi0 = gi∗ such that βj |gj =gi∗ = 0, so that the couplings for this particular theory in fact do not depend on scale. Such a theory is known as a critical point ...
list_of_posterpresentation
... Although the finite temperature systems of strings have been mainly examined in the framework of Matsubara formalism, quite a few works have been done to investigate these systems in the framework of thermo field dynamics. Previously we have calculated the thermal vacuum state and the partition func ...
... Although the finite temperature systems of strings have been mainly examined in the framework of Matsubara formalism, quite a few works have been done to investigate these systems in the framework of thermo field dynamics. Previously we have calculated the thermal vacuum state and the partition func ...
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.