Marcos Marino, An introduction to Donaldson
... These are the Stiefel-Whitney classes of real bundles F over X, denoted by wi (F ). They take values in H i (X, Z2 ), and a precise definition can be found in [20, 31], for example. The Stiefel-Whitney classes of a four-manifold X are defined as wi (X) = wi (T X). The first Stiefel-Whitney class of ...
... These are the Stiefel-Whitney classes of real bundles F over X, denoted by wi (F ). They take values in H i (X, Z2 ), and a precise definition can be found in [20, 31], for example. The Stiefel-Whitney classes of a four-manifold X are defined as wi (X) = wi (T X). The first Stiefel-Whitney class of ...
Different faces of integrability in the gauge theories or in the jungles
... N degrees of freedom. When one of the radii degenerates Ruijsenaars system degenerates to the Calogero model. These are examples of integrability in the perturbed topological theory. ...
... N degrees of freedom. When one of the radii degenerates Ruijsenaars system degenerates to the Calogero model. These are examples of integrability in the perturbed topological theory. ...
Topological Insulators
... As it is spherically symmetric, we can move the dirac string any where on the sphere with a gauge transformation. ...
... As it is spherically symmetric, we can move the dirac string any where on the sphere with a gauge transformation. ...
Antonio Policicchio
... • ZZ or ZW ⇾ llqq • Mass of dijet - dilepton system reconstructed in 3 regions • High and low PT regions where jets are resolved and merged-jet regions • Z+jet dominant background is corrected with data from sidebands • No excess of events observed ⇾ upper limits set on σ x BR of Kaluza–Klein gravit ...
... • ZZ or ZW ⇾ llqq • Mass of dijet - dilepton system reconstructed in 3 regions • High and low PT regions where jets are resolved and merged-jet regions • Z+jet dominant background is corrected with data from sidebands • No excess of events observed ⇾ upper limits set on σ x BR of Kaluza–Klein gravit ...
LHC - Università di Pisa
... About a factor 10 less Z’s than W’s Most systematic uncertainties are related to size of Z sample ...
... About a factor 10 less Z’s than W’s Most systematic uncertainties are related to size of Z sample ...
Particle Physics what do we know?
... – Standard Model doesn’t work at all energies – Standard Model does not include gravity – we haven’t found the Higgs yet... ...
... – Standard Model doesn’t work at all energies – Standard Model does not include gravity – we haven’t found the Higgs yet... ...
GeoSym-QFT
... standard model of particle physics, and on the other a classical theory describing gravity as the geometry of spacetime. The unification of the two is the present challenge, and it will probably require a change of paradigm with the introduction of innovative concepts and tools. The title of our pro ...
... standard model of particle physics, and on the other a classical theory describing gravity as the geometry of spacetime. The unification of the two is the present challenge, and it will probably require a change of paradigm with the introduction of innovative concepts and tools. The title of our pro ...
Flavor Beyond Standard Model
... leptons in the final state and m −e conversion in nuclei. • Electric dipole moments of the neutron, the electron, atoms and leptons. • Anomalous magnetic moment of the muon Having experimental results on these decays and observables with sufficient precision accompanied by improved theoretical calcu ...
... leptons in the final state and m −e conversion in nuclei. • Electric dipole moments of the neutron, the electron, atoms and leptons. • Anomalous magnetic moment of the muon Having experimental results on these decays and observables with sufficient precision accompanied by improved theoretical calcu ...
ppt
... frame all information about the gravitational field is encoded in the scalar field, so it seems reasonable that any quantum aspect emerging in the process of quantization, whatever it is, should somehow involve this field. Moreover, one would also expect that the correspondence between the Riemann a ...
... frame all information about the gravitational field is encoded in the scalar field, so it seems reasonable that any quantum aspect emerging in the process of quantization, whatever it is, should somehow involve this field. Moreover, one would also expect that the correspondence between the Riemann a ...
cern07-lecture
... • Lecture II – The W boson mass, the Top Quark and the Higgs Boson • Lepton calibration, jet energy scale and b-tagging ...
... • Lecture II – The W boson mass, the Top Quark and the Higgs Boson • Lepton calibration, jet energy scale and b-tagging ...
sachdev.physics.harvard.edu Lecture notes arXiv:1010.0682 arXiv
... A mean-field theory of a spin liquid ...
... A mean-field theory of a spin liquid ...
Integrable Lattice Models From Gauge Theory
... scalar function F (θ). (This invariance is manifest in fig. 8; on both the left and the right, one has a succession of three scattering events with rapidity differences θi − θj , 1 ≤ i < j ≤ 3. So overall factors F (θi − θj ) will cancel out.) In applications of the Yang-Baxter equation to classical ...
... scalar function F (θ). (This invariance is manifest in fig. 8; on both the left and the right, one has a succession of three scattering events with rapidity differences θi − θj , 1 ≤ i < j ≤ 3. So overall factors F (θi − θj ) will cancel out.) In applications of the Yang-Baxter equation to classical ...
Gravitational Field of Massive Point Particle in General Relativity
... point source of the metric field in GR. New interesting gauge conditions for the radial variable r and corresponding gauge transformations were introduced and investigated in [17]. In the recent articles [18] it was shown that using a nonstandard ρ-gauge for the applications of GR to the stelar phys ...
... point source of the metric field in GR. New interesting gauge conditions for the radial variable r and corresponding gauge transformations were introduced and investigated in [17]. In the recent articles [18] it was shown that using a nonstandard ρ-gauge for the applications of GR to the stelar phys ...
Particle Fever
... science is revealed in the film, its real topic is doing science, enjoying science, and the kinds of people who devote their careers to science. The film follows seven scientists and engineers for up to six years, leading up to the dramatic discovery in 2012 of a long-sought sub-atomic particle, the ...
... science is revealed in the film, its real topic is doing science, enjoying science, and the kinds of people who devote their careers to science. The film follows seven scientists and engineers for up to six years, leading up to the dramatic discovery in 2012 of a long-sought sub-atomic particle, the ...
Of Quarks and Gluons
... This last relation requires α1,2,3 and β to be four by four matrices. That sounds rather esoteric, but means that ψ has four components. We shall interpret this as a factor of 2 from spin up or down, and a second 2 from particle or antiparticle: Since the Dirac equation is linear, we can either have ...
... This last relation requires α1,2,3 and β to be four by four matrices. That sounds rather esoteric, but means that ψ has four components. We shall interpret this as a factor of 2 from spin up or down, and a second 2 from particle or antiparticle: Since the Dirac equation is linear, we can either have ...
Macroscopic Effects of the Quantum Trace Anomaly
... Massless Anomaly Pole For p2 = q2 = 0 (both photons on shell) and me = 0 the pole at k2 = 0 describes a massless e+ e - pair moving at v=c colinearly, with opposite helicities in a total spin-0 state ...
... Massless Anomaly Pole For p2 = q2 = 0 (both photons on shell) and me = 0 the pole at k2 = 0 describes a massless e+ e - pair moving at v=c colinearly, with opposite helicities in a total spin-0 state ...
Transport properties of strongly coupled gauge
... we need a recipe for computing Minkowski space correlators in AdS/CFT The recipe of [D.T.Son & A.S., 2001] and [C.Herzog & D.T.Son, 2002] relates real-time correlators in field theory to Penrose diagram of black hole in dual gravity Quasinormal spectrum of dual gravity = poles of the retarded correl ...
... we need a recipe for computing Minkowski space correlators in AdS/CFT The recipe of [D.T.Son & A.S., 2001] and [C.Herzog & D.T.Son, 2002] relates real-time correlators in field theory to Penrose diagram of black hole in dual gravity Quasinormal spectrum of dual gravity = poles of the retarded correl ...
Some Basic Aspects of Fractional Quantum Numbers
... This field theory description does not yet quite correspond to the picture of polyacetylene sketched in the previous section, because the breaking of translational symmetry (from x → x + a to x → x + 2a) has not appeared. We need not change the equations, however, we need only draw out their implica ...
... This field theory description does not yet quite correspond to the picture of polyacetylene sketched in the previous section, because the breaking of translational symmetry (from x → x + a to x → x + 2a) has not appeared. We need not change the equations, however, we need only draw out their implica ...
Determination of the Boltzmann Constant Using the Differential
... is the second phase of the program and has set the most stringent limits on the WIMP-nucleon spinindependent [4] and spin-dependent [5] cross sections and on the axion-electron coupling [6]. The successor, XENON1T [3, 7], is a ton-scale TPC that will be commissioned in 2015 and it is expected to imp ...
... is the second phase of the program and has set the most stringent limits on the WIMP-nucleon spinindependent [4] and spin-dependent [5] cross sections and on the axion-electron coupling [6]. The successor, XENON1T [3, 7], is a ton-scale TPC that will be commissioned in 2015 and it is expected to imp ...
PPT
... Classically it’s force that affects particles. EM force is written in E, B. But in Hamiltonian formalism, H is written in terms of A. ...
... Classically it’s force that affects particles. EM force is written in E, B. But in Hamiltonian formalism, H is written in terms of A. ...
QUANTUM FIELD THEORY
... Another point that needs to be emphasized is the meaning of particle in the above context. Actually, the better name might be ’degree of freedom’. If the energy is low enough to avoid excitation of internal degrees of freedom, an atom is a perfect example of a particle. In fact, it is the behavior u ...
... Another point that needs to be emphasized is the meaning of particle in the above context. Actually, the better name might be ’degree of freedom’. If the energy is low enough to avoid excitation of internal degrees of freedom, an atom is a perfect example of a particle. In fact, it is the behavior u ...
Hawking Radiation by Kerr Black Holes and Conformal Symmetry Ivan Agullo,
... derivation is that, in the near-horizon region, the SOð2; 2Þ conformal symmetry of the classical matter wave equation is naturally enlarged to the conventional infinitedimensional group of conformal transformations in two dimensions. This enlargement of the symmetry produces, at the quantum level, a ...
... derivation is that, in the near-horizon region, the SOð2; 2Þ conformal symmetry of the classical matter wave equation is naturally enlarged to the conventional infinitedimensional group of conformal transformations in two dimensions. This enlargement of the symmetry produces, at the quantum level, a ...
Downloadable Full Text - DSpace@MIT
... quiver quantum mechanics with two Abelian nodes and a single arrow. This model captures the dynamics of a pair of wrapped D-branes interacting via a single light string mode. A dimensionless parameter ν, which is inversely proportional to the Fayet-Iliopoulos parameter, controls whether the bulk of ...
... quiver quantum mechanics with two Abelian nodes and a single arrow. This model captures the dynamics of a pair of wrapped D-branes interacting via a single light string mode. A dimensionless parameter ν, which is inversely proportional to the Fayet-Iliopoulos parameter, controls whether the bulk of ...
What is Renormalization? G.Peter Lepage
... the electron is predicted (correctly) by the theory to at least 12 significant digits! At first sight, renormalization appears to be a rather dubious procedure for hiding embarrassing infinities, and the success of QED seems nothing less than miraculous. Nevertheless, persuaded by success, most phys ...
... the electron is predicted (correctly) by the theory to at least 12 significant digits! At first sight, renormalization appears to be a rather dubious procedure for hiding embarrassing infinities, and the success of QED seems nothing less than miraculous. Nevertheless, persuaded by success, most phys ...