cond-mat/0406008 PDF
... are taken from a uniform distribution. Thus, the model does not depend on the exact functional form of T (ǫ), or on its distribution. The change in the critical exponent from its classical counterpart can be traced to the fact that as the Fermi energy, or concentration of SC links, change, the trans ...
... are taken from a uniform distribution. Thus, the model does not depend on the exact functional form of T (ǫ), or on its distribution. The change in the critical exponent from its classical counterpart can be traced to the fact that as the Fermi energy, or concentration of SC links, change, the trans ...
Emergence in Effective Field Theories - Philsci
... equation of motion, determines a future or a past state. Thus, for example, a dynamical state description of a free classical particle governed by a second-order partial differential equation of motion (Newton's second law, for instance) is specified by the values of its position and momentum. In th ...
... equation of motion, determines a future or a past state. Thus, for example, a dynamical state description of a free classical particle governed by a second-order partial differential equation of motion (Newton's second law, for instance) is specified by the values of its position and momentum. In th ...
Proportions and Similar Figures
... Similar Figures Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and corresponding angles are in the same relative position. Two figures are similar if and only if the lengths of corresponding sides ...
... Similar Figures Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and corresponding angles are in the same relative position. Two figures are similar if and only if the lengths of corresponding sides ...
Spin-current and other unusual phases in magnetized triangular lattice antiferromagnets
... been proposed that the plateaus are Wigner crystals of triplets [14–16]. There exists a spin model which is derived from the Shastry-Sutherland Hamiltonian [17] for which the plateaus are demonstrated to originate from such ordered states. However, in this model there are plateaus at 1#4, 1#2, and 3 ...
... been proposed that the plateaus are Wigner crystals of triplets [14–16]. There exists a spin model which is derived from the Shastry-Sutherland Hamiltonian [17] for which the plateaus are demonstrated to originate from such ordered states. However, in this model there are plateaus at 1#4, 1#2, and 3 ...
Inverse magnetic catalysis in QCD and holography
... other than the QCD Lagrangian. The other method, the one we will be using, is to use the holographic principle to try to come up with a dual gravitational theory in which the results can be computed more readily. The above leads to the following problem statement: Can we, using holographic methods, ...
... other than the QCD Lagrangian. The other method, the one we will be using, is to use the holographic principle to try to come up with a dual gravitational theory in which the results can be computed more readily. The above leads to the following problem statement: Can we, using holographic methods, ...
QUANTUM FIELD THEORY
... For a moving particle mc2 → E (or by considering the Lorentz contraction of length) one has ∆x ≥ ~c/E. If the particle momentum becomes relativistic, one has E ≈ pc and ∆x ≥ ~/p, which says that a particle cannot be located better than its de Broglie wavelength. Thus the coordinates of a particle ca ...
... For a moving particle mc2 → E (or by considering the Lorentz contraction of length) one has ∆x ≥ ~c/E. If the particle momentum becomes relativistic, one has E ≈ pc and ∆x ≥ ~/p, which says that a particle cannot be located better than its de Broglie wavelength. Thus the coordinates of a particle ca ...
![arXiv:1705.06742v1 [cond-mat.quant-gas] 18](http://s1.studyres.com/store/data/015536624_1-695304017ec91e58c90e68ba3242255c-300x300.png)
11 Canonical quantization of classical fields
... For this reason the second term on the right hand side of (11.18) is nonvanishing - it receives contributions from the t = t1 and t = t2 hypersufaces. Notice that the situation is quite different in the case of theories formulated in the Euclidean space with coordinates x̄µ : because in this case fi ...
... For this reason the second term on the right hand side of (11.18) is nonvanishing - it receives contributions from the t = t1 and t = t2 hypersufaces. Notice that the situation is quite different in the case of theories formulated in the Euclidean space with coordinates x̄µ : because in this case fi ...
Enhanced Symmetries and the Ground State of String Theory
... One of the great puzzles of string theory is: why are the gauge couplings we observe small and unified, if the underlying theory is strongly coupled. The weakly coupled heterotic string provides a simple picture of coupling unification, but it is not clear why this should hold at stronger coupling, ...
... One of the great puzzles of string theory is: why are the gauge couplings we observe small and unified, if the underlying theory is strongly coupled. The weakly coupled heterotic string provides a simple picture of coupling unification, but it is not clear why this should hold at stronger coupling, ...
p-ADIC DIFFERENCE-DIFFERENCE LOTKA
... this article, we mainly deal with the Lotka-Volterra equation as a typical differencedifference soliton equation. We show that even in p-adic space of the number theory, the difference-difference Lotka-Volterra equation has mathematical meanings and has nontrivial solutions in Proposition 5.2. It means ...
... this article, we mainly deal with the Lotka-Volterra equation as a typical differencedifference soliton equation. We show that even in p-adic space of the number theory, the difference-difference Lotka-Volterra equation has mathematical meanings and has nontrivial solutions in Proposition 5.2. It means ...
URL - StealthSkater
... diagrams would be due to the need to realize unitary representations of Poincare group in terms of fields. For massless particles, one is forced to assume gauge invariance to eliminate the unphysical polarizations. Nima sees gauge invariance as the source of all troubles. Here I do not completely ag ...
... diagrams would be due to the need to realize unitary representations of Poincare group in terms of fields. For massless particles, one is forced to assume gauge invariance to eliminate the unphysical polarizations. Nima sees gauge invariance as the source of all troubles. Here I do not completely ag ...
Large Extra Dimensions - Are you sure you want to look at this?
... their model, the extra dimension could even be of infinite size and still reproduce our fourdimensional gravity. Thus, it was found that large extra dimensions were not only allowed theoretically, but they provided an explanation for the hierarchy problem that has been a longstanding problem in part ...
... their model, the extra dimension could even be of infinite size and still reproduce our fourdimensional gravity. Thus, it was found that large extra dimensions were not only allowed theoretically, but they provided an explanation for the hierarchy problem that has been a longstanding problem in part ...
Lecture 2
... ligands and destabilizing to the d orbitals. The interaction of a ligand with a d orbital depends on their orientation with respect to each other, estimated by their overlap which can be calculated. The total destabilization of a d orbital comes from all the interactions with the set of ligands. For ...
... ligands and destabilizing to the d orbitals. The interaction of a ligand with a d orbital depends on their orientation with respect to each other, estimated by their overlap which can be calculated. The total destabilization of a d orbital comes from all the interactions with the set of ligands. For ...
Nonabelions in the fractional quantum hall effect
... try to distinguish "particle-like" from "collective" excitations, the latter having Bose statistics and being typically related to fluctuations of conserved quantities such as charge and spin, thus being neutral and having spin zero or one. The other excitations have either non-trivial charge, spin ...
... try to distinguish "particle-like" from "collective" excitations, the latter having Bose statistics and being typically related to fluctuations of conserved quantities such as charge and spin, thus being neutral and having spin zero or one. The other excitations have either non-trivial charge, spin ...
Inconsistency in Classical Electrodynamics
... equations are often taken to satisfy certain intuitive criteria of simplicity. The theory, that is, scores very high on a number of criteria of theory assessment, including accuracy, simplicity, and fit with the overall conceptual framework. There is just one problem: the theory is inconsistent. Cor ...
... equations are often taken to satisfy certain intuitive criteria of simplicity. The theory, that is, scores very high on a number of criteria of theory assessment, including accuracy, simplicity, and fit with the overall conceptual framework. There is just one problem: the theory is inconsistent. Cor ...
Topological structures in string theory
... K-theory carries over straightforwardly from manifolds to non-commutative algebras. For the vector space Γ (E) of sections of a vector bundle, E on X is a finitely generated projective module over the algebra C ∞ (X) and E → Γ (E) defines an equivalence between the category of vector bundles on X and ...
... K-theory carries over straightforwardly from manifolds to non-commutative algebras. For the vector space Γ (E) of sections of a vector bundle, E on X is a finitely generated projective module over the algebra C ∞ (X) and E → Γ (E) defines an equivalence between the category of vector bundles on X and ...
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.