Semiclassical Origins of Density Functionals
... Important features of these results include: (i) exact when v 0, where kF N 1=2=L; (ii) highly nonlocal functionals of the potential through F , which is set globally; (iii) TF theory retains only the first terms, and EF differs because of this; (iv) even if low-lying orbitals have turning ...
... Important features of these results include: (i) exact when v 0, where kF N 1=2=L; (ii) highly nonlocal functionals of the potential through F , which is set globally; (iii) TF theory retains only the first terms, and EF differs because of this; (iv) even if low-lying orbitals have turning ...
QFT on curved spacetimes: axiomatic framework and applications
... precisely expressed by the German word Nahwirkungsprinzip. It states that each degree of freedom is influenced only by a relatively small number of other degrees of freedom. This induces a concept of neighborhoods in the set of degrees of freedom. The original motivation for developing QFT was to co ...
... precisely expressed by the German word Nahwirkungsprinzip. It states that each degree of freedom is influenced only by a relatively small number of other degrees of freedom. This induces a concept of neighborhoods in the set of degrees of freedom. The original motivation for developing QFT was to co ...
Multinucleon Transfer Reactions and Quasifission Processes in
... In Part II, we first investigate the MNT processes in 64 Ni+238 U reaction for which precise measurements of MNT cross sections were performed. From comparisons between MNT cross sections calculated by the TDHF theory combined with the PNP and those of the measurements, we again find reasonable agreem ...
... In Part II, we first investigate the MNT processes in 64 Ni+238 U reaction for which precise measurements of MNT cross sections were performed. From comparisons between MNT cross sections calculated by the TDHF theory combined with the PNP and those of the measurements, we again find reasonable agreem ...
Here - Blogs at UMass Amherst
... Model really developed hand in hand with Quantum Field Theory (QFT). Quantum Electrodynamics (QED) required the development of renormalization theory. Yang–Mills (YM) theory required the understanding of gauge invariance, path integrals and Faddeev–Popov ghosts. To be useful, Quantum Chromodynamics ...
... Model really developed hand in hand with Quantum Field Theory (QFT). Quantum Electrodynamics (QED) required the development of renormalization theory. Yang–Mills (YM) theory required the understanding of gauge invariance, path integrals and Faddeev–Popov ghosts. To be useful, Quantum Chromodynamics ...
Academia Sinica, Taipei, Taiwan, 06/2010, Yip Sungkit
... 2. For c3 = c4 = 0 mean field results 3. Gauge field A is U(1) and is a scalar 4. The dual CFT (quiver SU(N) gauge theory) is known for some ƒ 5. By tuning ƒ we can reproduce different phase transitions ...
... 2. For c3 = c4 = 0 mean field results 3. Gauge field A is U(1) and is a scalar 4. The dual CFT (quiver SU(N) gauge theory) is known for some ƒ 5. By tuning ƒ we can reproduce different phase transitions ...
6. String Interactions
... undone by Weyl transformations. As we saw in Section 4, there are an infinite number of such conformal transformations. It looks like we have a whole lot of gauge fixing still to do. However, global issues actually mean that there’s less remnant gauge symmetry than you might think. In Section 4, we ...
... undone by Weyl transformations. As we saw in Section 4, there are an infinite number of such conformal transformations. It looks like we have a whole lot of gauge fixing still to do. However, global issues actually mean that there’s less remnant gauge symmetry than you might think. In Section 4, we ...
Renormalization group running of Newton`s constant G: The static
... derive, from first principles, the values of Newton’s constant and the cosmological constant, are placed unrealistically high. After all, in other well understood quantum field theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling re ...
... derive, from first principles, the values of Newton’s constant and the cosmological constant, are placed unrealistically high. After all, in other well understood quantum field theories like QED and QCD the renormalized parameters (, S , . . .) are fixed by experiments, and no really compelling re ...
Lokal fulltext - Chalmers tekniska högskola
... In quantum theories, which we must use to describe the fundamental particles and interactions, we cannot say anything for certain, rather only give probabilities for a specific outcome. This is not just a case of our theories not being good enough, or that we are not able to specify initial conditio ...
... In quantum theories, which we must use to describe the fundamental particles and interactions, we cannot say anything for certain, rather only give probabilities for a specific outcome. This is not just a case of our theories not being good enough, or that we are not able to specify initial conditio ...
The role of the electromagnetic field in the formation of domains in
... The interest in the general problem of the stability of mesoscopic and macroscopic complex systems arising from fluctuating quantum components also finds one strong motivation in the study of the physically relevant problem of defect formation during the process of nonequilibrium symmetry breaking p ...
... The interest in the general problem of the stability of mesoscopic and macroscopic complex systems arising from fluctuating quantum components also finds one strong motivation in the study of the physically relevant problem of defect formation during the process of nonequilibrium symmetry breaking p ...
Quantum cobordisms and formal group laws
... the well-known fact that for i = 1, ..., n, the class ψi on M0,n+1 does not coincide with the pull-back ft∗n+1 (ψi ) of its counterpart from M0,n but differs from it by the class of the divisor σi (M0,n). The family of “monotone functions” in (1) can alternatively be viewed as a family of quadratic ...
... the well-known fact that for i = 1, ..., n, the class ψi on M0,n+1 does not coincide with the pull-back ft∗n+1 (ψi ) of its counterpart from M0,n but differs from it by the class of the divisor σi (M0,n). The family of “monotone functions” in (1) can alternatively be viewed as a family of quadratic ...
Applications of group theory
... group theoretic arguments underlie large parts of the theory of those entities. Galois theory uses groups to describe the symmetries of the roots of a polynomial (or more precisely the automorphisms of the algebras generated by these roots). The fundamental theorem of Galois theory provides a link b ...
... group theoretic arguments underlie large parts of the theory of those entities. Galois theory uses groups to describe the symmetries of the roots of a polynomial (or more precisely the automorphisms of the algebras generated by these roots). The fundamental theorem of Galois theory provides a link b ...
Quantum Field Theory on Curved Backgrounds. II
... Abstract We study space-time symmetries in scalar quantum field theory on an arbitrary static space-time. We first consider Euclidean quantum field theory, and show that the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show th ...
... Abstract We study space-time symmetries in scalar quantum field theory on an arbitrary static space-time. We first consider Euclidean quantum field theory, and show that the isometry group is generated by one-parameter subgroups which have either selfadjoint or unitary quantizations. We then show th ...
The Fractional Quantum Hall Effect, Chern-Simons
... where c2 is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group G, normalized such that c2 = N, for G = SU(N). Let Uq(Lie G) denote the usual quantum deformation of the universal enveloping algebra of Lie G with deformation parameter q = exp ìITK [34]. We assu ...
... where c2 is the eigenvalue of the quadratic Casimir operator in the adjoint representation of the group G, normalized such that c2 = N, for G = SU(N). Let Uq(Lie G) denote the usual quantum deformation of the universal enveloping algebra of Lie G with deformation parameter q = exp ìITK [34]. We assu ...
Absorption of intense electromagnetic radiation in collisions of
... The situation is different when uE>>uT. In fact, even though the investigation of absorption of intense radiation was started quite long this research i s at present still incomplete. To explain this statement and justify the need for constructing the theory expounded below, of absorption of high-fr ...
... The situation is different when uE>>uT. In fact, even though the investigation of absorption of intense radiation was started quite long this research i s at present still incomplete. To explain this statement and justify the need for constructing the theory expounded below, of absorption of high-fr ...
Inclusive DIS in saturation models
... We are only beginning to explore the high energy, many body dynamics of this theory What are the right effective degrees of freedom at high energies? -- gluons & sea quarks, dipoles, pomerons, strong fields? ...
... We are only beginning to explore the high energy, many body dynamics of this theory What are the right effective degrees of freedom at high energies? -- gluons & sea quarks, dipoles, pomerons, strong fields? ...