Lectures on Conformal Field Theory arXiv:1511.04074v2 [hep
... In Lecture 2, we study the basic properies of CFTs in d > 2 dimensions. Topics include conformal transformations, their infinitesimal form, a detailed discussion of special conformal transformations, the conformal algebra and group, and representations of the conformal group. We next discuss constr ...
... In Lecture 2, we study the basic properies of CFTs in d > 2 dimensions. Topics include conformal transformations, their infinitesimal form, a detailed discussion of special conformal transformations, the conformal algebra and group, and representations of the conformal group. We next discuss constr ...
See the slides
... Deformed instanton equation: dt X (t) = δ(t − tp ). Moduli space of solutions: constant maps with jump X (t) = c + θ(t − tp ) ...
... Deformed instanton equation: dt X (t) = δ(t − tp ). Moduli space of solutions: constant maps with jump X (t) = c + θ(t − tp ) ...
Department of Mathematics
... 1) Whenever feasible questions may be divided into two parts. Part (a) will follow the traditional pattern, while part (b) will be devoted to true/false type questions. 2) If the last recommendation is followed uniformly for all questions in the paper, the following note should precede the question ...
... 1) Whenever feasible questions may be divided into two parts. Part (a) will follow the traditional pattern, while part (b) will be devoted to true/false type questions. 2) If the last recommendation is followed uniformly for all questions in the paper, the following note should precede the question ...
Quantum Critical Systems from ADS/CFT
... can give key insights to understand the quantum critical region at nonzero temperature. The quantum phase transition can happen for both insulators and metals. Figure 1.2 shows a typical phase diagram. The special feature for metals is that they have a Fermi surface. The metal in the quantum critic ...
... can give key insights to understand the quantum critical region at nonzero temperature. The quantum phase transition can happen for both insulators and metals. Figure 1.2 shows a typical phase diagram. The special feature for metals is that they have a Fermi surface. The metal in the quantum critic ...
UNIT 7 - Peru Central School
... **Determine if all angles are 90o by using slope formula and showing perpendicular lines. **Find the length of each side (distance formula) and determine if corresponding sides are proportional. ...
... **Determine if all angles are 90o by using slope formula and showing perpendicular lines. **Find the length of each side (distance formula) and determine if corresponding sides are proportional. ...
Multidimensional Hypergeometric Functions in Conformai Field
... Such integrals correspond to special configurations. The characteristics of these configurations, in particular the homology groups with twisted coefficients of the complement, the complex of hypergeometric forms ar^e interpreted as objects of the representation theory of Kac-Moody algebras. Such in ...
... Such integrals correspond to special configurations. The characteristics of these configurations, in particular the homology groups with twisted coefficients of the complement, the complex of hypergeometric forms ar^e interpreted as objects of the representation theory of Kac-Moody algebras. Such in ...
Adiabatic processes in the ionization of highly excited hydrogen atoms
... which has been investigated experimentally by Bayfield and Koch [1, 2]. In these experiments, one observes ionization although the ionization energy of the initial stationary state corresponds to the energy of up to several hundred microwave photons [2]. Furthermore, the ionization rate depends sens ...
... which has been investigated experimentally by Bayfield and Koch [1, 2]. In these experiments, one observes ionization although the ionization energy of the initial stationary state corresponds to the energy of up to several hundred microwave photons [2]. Furthermore, the ionization rate depends sens ...
quantum dynamics of integrable spin chains
... [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, since, as Lebowitz pointed out in [16] discussing just these topics: almost all physica ...
... [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, since, as Lebowitz pointed out in [16] discussing just these topics: almost all physica ...
Vocabulary - Hartland High School
... In geometry, two polygons that have the same shape and same size are called _____________. We learned that two polygons are CONGRUENT if and only if ___________________________ AND ___________________________ are equal. C ...
... In geometry, two polygons that have the same shape and same size are called _____________. We learned that two polygons are CONGRUENT if and only if ___________________________ AND ___________________________ are equal. C ...
Study Guide
... If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. ...
... If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. ...
non equilibrium dynamics of quantum ising chains in the presence
... Lanczos:M z for the ferromagnetic transverse field Ising model as a function of hx . Lanczos:M x for the ferromagnetic transverse field Ising model as a function of hx Lanczos:energy for the ferromagnetic transverse field Ising model as a function of hx Infinite-system DMRG: M z versus hx in ferroma ...
... Lanczos:M z for the ferromagnetic transverse field Ising model as a function of hx . Lanczos:M x for the ferromagnetic transverse field Ising model as a function of hx Lanczos:energy for the ferromagnetic transverse field Ising model as a function of hx Infinite-system DMRG: M z versus hx in ferroma ...
Time reversal in classical electromagnetism - Philsci
... (So active and passive time reversal have exactly the same effect on the coordinate dependent descriptions of worlds.) Suppose now that we have a theory which is stated in terms of coordinate dependent descriptions of the world, i.e. a theory which says that only certain coordinate dependent descri ...
... (So active and passive time reversal have exactly the same effect on the coordinate dependent descriptions of worlds.) Suppose now that we have a theory which is stated in terms of coordinate dependent descriptions of the world, i.e. a theory which says that only certain coordinate dependent descri ...
Hadronization of Quark Theories
... is the correct fundamental theory of elementary particles. The gluon fields form flux tubes between quarks and antiquarks which have a fixed diameter of the order of the Compton wavelength of the pion. Since the field energy is to lowest order proportional to the square of the field strength, the en ...
... is the correct fundamental theory of elementary particles. The gluon fields form flux tubes between quarks and antiquarks which have a fixed diameter of the order of the Compton wavelength of the pion. Since the field energy is to lowest order proportional to the square of the field strength, the en ...
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.