Lecture notes - UCSD Department of Physics
... The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from systems with finitely many degrees of freedom per unit volume, with local interactions between them. Often these degrees of freedom will live on a lattice ...
... The subject of the course is regulated quantum field theory (QFT): we will study quantum field theories which can be constructed by starting from systems with finitely many degrees of freedom per unit volume, with local interactions between them. Often these degrees of freedom will live on a lattice ...
Topological insulators and superconductors
... are all trivial, however, as any closed one-dimensional path defined by the image of S 1 is smoothly contractible to a point. Hence, we cannot define a winding number in this case. In the following we want to achieve three goals. First, we want to see how symmetries can influence the possible topolo ...
... are all trivial, however, as any closed one-dimensional path defined by the image of S 1 is smoothly contractible to a point. Hence, we cannot define a winding number in this case. In the following we want to achieve three goals. First, we want to see how symmetries can influence the possible topolo ...
Plenty of Nothing: Black Hole Entropy in Induced Gravity
... gravitational field. This conclusion leaves us practically no other choice but to try to relate the entropy of the black hole to properties of the physical vacuum in the strong gravitational field. The black hole entropy is of the same order of magnitude as the logarithm of the number of different w ...
... gravitational field. This conclusion leaves us practically no other choice but to try to relate the entropy of the black hole to properties of the physical vacuum in the strong gravitational field. The black hole entropy is of the same order of magnitude as the logarithm of the number of different w ...
Pion as a Nambu-Goldstone boson
... Nambu-Goldstone Bosons. No information about how the breaking occurs is needed. Natural explanation for smallness of Pion mass. Found a technique to relate infinitly many diagramms. From the assumption that Pions and even Kaons and the Eta are Goldstone bosons one can construct effective field ...
... Nambu-Goldstone Bosons. No information about how the breaking occurs is needed. Natural explanation for smallness of Pion mass. Found a technique to relate infinitly many diagramms. From the assumption that Pions and even Kaons and the Eta are Goldstone bosons one can construct effective field ...
Thermal equilibrium states for quantum fields on
... yield only tiny deviations from the predictions of usual QFT. However, it is not very clear what these deviations are, or how they could be observed. In the model at hand, the effect of the noncommutativity parameter θ on scattering processes (at zero temperature) was investigated in [GL07], and sho ...
... yield only tiny deviations from the predictions of usual QFT. However, it is not very clear what these deviations are, or how they could be observed. In the model at hand, the effect of the noncommutativity parameter θ on scattering processes (at zero temperature) was investigated in [GL07], and sho ...
briancox
... ATLAS or CMS in standard running mode • Problem for low-mass Higgs -> bb jets • @ 1 x 1032, no pile-up, isolation criteria allows L1 di-jet trigger (rate 2.6 KHz 2 jets ET > 40 GeV reduced to < 1 KHz with isolation + topological cuts) ...
... ATLAS or CMS in standard running mode • Problem for low-mass Higgs -> bb jets • @ 1 x 1032, no pile-up, isolation criteria allows L1 di-jet trigger (rate 2.6 KHz 2 jets ET > 40 GeV reduced to < 1 KHz with isolation + topological cuts) ...
15. GRAND UNIFIED THEORIES 15. Grand Unified Theories 15.1. Grand Unification 1
... parameters, and leaves open too many unresolved questions to be considered complete. These are the problems which grand unified theories hope to address. 15.1.2. Charge Quantization : In the Standard Model, quarks and leptons are on an equal footing; both fundamental particles without substructure. I ...
... parameters, and leaves open too many unresolved questions to be considered complete. These are the problems which grand unified theories hope to address. 15.1.2. Charge Quantization : In the Standard Model, quarks and leptons are on an equal footing; both fundamental particles without substructure. I ...
Time reversal and the symplectic symmetry of the electron spin.
... superconductors, allowing a description of the development of valence bonds in a spin fluid, and the transmission of their pair correlations to the electron sea[20, 21]. For the first time, this physics can now be explored within a controlled large N approach. As an example of this physics in action ...
... superconductors, allowing a description of the development of valence bonds in a spin fluid, and the transmission of their pair correlations to the electron sea[20, 21]. For the first time, this physics can now be explored within a controlled large N approach. As an example of this physics in action ...
Acrobat PDFMaker 6.0
... Something else that QFT predicts is the possible existence of composite particles that have zero mass, spin, and charge [9]. However, it looks somewhat like a fictitious particle since it is basically "zero everything" so it is understandable why it might be ignored. But we know from past experience ...
... Something else that QFT predicts is the possible existence of composite particles that have zero mass, spin, and charge [9]. However, it looks somewhat like a fictitious particle since it is basically "zero everything" so it is understandable why it might be ignored. But we know from past experience ...
A strange, elusive phenomenon called supersymmetry was
... upersymmetry is a remarkable symmetry. In elementary particle physics, it interchanges particles of completely dissimilar types— the kind called fermions (such as electrons, protons and neutrons), which make up the material world, and those called bosons (such as photons), which generate the forces ...
... upersymmetry is a remarkable symmetry. In elementary particle physics, it interchanges particles of completely dissimilar types— the kind called fermions (such as electrons, protons and neutrons), which make up the material world, and those called bosons (such as photons), which generate the forces ...
Classification of Topologically ordered Phases
... We have consider the 1- and 2-dimensional AKLT phases as the examples. ...
... We have consider the 1- and 2-dimensional AKLT phases as the examples. ...
Graviton physics - ScholarWorks@UMass Amherst
... probe B[2]. However, despite this obvious parallel, examination of quantum mechanics texts reveals that (with one exception[3]) the case of graviton interactions is not discussed in any detail. There are at least three reasons for this situation: i) the graviton is a spin-two particle, as opposed to ...
... probe B[2]. However, despite this obvious parallel, examination of quantum mechanics texts reveals that (with one exception[3]) the case of graviton interactions is not discussed in any detail. There are at least three reasons for this situation: i) the graviton is a spin-two particle, as opposed to ...
Two-magnon instabilities and other surprises in magnetized quantum antiferromagnets Oleg Starykh
... investigated in the presence of a magnetic field. The spin wave free energy is taken into account and proves to be important for determining the properties of the system. The phase diagram is constructed. It contains four different phases with rigorous long-range order. Three of them are characteris ...
... investigated in the presence of a magnetic field. The spin wave free energy is taken into account and proves to be important for determining the properties of the system. The phase diagram is constructed. It contains four different phases with rigorous long-range order. Three of them are characteris ...
Quantum and classical statistics of the electromagnetic zero
... whereas in the quantum view h is a unit of quantization, in the SED view h is merely a measure of field strength. The primary emphasis of this research program has been to determine to what extent classical physics plus a ZPF can reproduce the results of quantum mechanics (QM) and quantum electrodyn ...
... whereas in the quantum view h is a unit of quantization, in the SED view h is merely a measure of field strength. The primary emphasis of this research program has been to determine to what extent classical physics plus a ZPF can reproduce the results of quantum mechanics (QM) and quantum electrodyn ...
CERN Summer Vacation
... the border between Switzerland and France, near Geneva Switzerland. • It is home to the Large Hadron Collider as well as many additional particle physics experiments (ATLAS, CMS, LHCb, etc.) • 2014 marks the 60th anniversary of CERN. Various celebrations are taking place all year long. ...
... the border between Switzerland and France, near Geneva Switzerland. • It is home to the Large Hadron Collider as well as many additional particle physics experiments (ATLAS, CMS, LHCb, etc.) • 2014 marks the 60th anniversary of CERN. Various celebrations are taking place all year long. ...
Elementary particles and the exasperating Higgs boson: the ideas
... Why the Higgs boson is so special? 1. We do not know how to write a theory in which the particles are massive. The Higgs particle solves this problem. 2. It permeates all space. We have never seen such an effect before. 3. It is the first elementary particle with spin 0 ever found. It is therefor ...
... Why the Higgs boson is so special? 1. We do not know how to write a theory in which the particles are massive. The Higgs particle solves this problem. 2. It permeates all space. We have never seen such an effect before. 3. It is the first elementary particle with spin 0 ever found. It is therefor ...
A New Perspective on Chiral Gauge Theories
... 1. Gauge the RH mirror fermions (so X does not violate gauge symmetry)… and then decouple somehow Historically numerous attempts to endow mirror fermions with exotic interactions in hopes of decoupling them…many have been shown not to work. Currently several proposed for which there is no evidence ...
... 1. Gauge the RH mirror fermions (so X does not violate gauge symmetry)… and then decouple somehow Historically numerous attempts to endow mirror fermions with exotic interactions in hopes of decoupling them…many have been shown not to work. Currently several proposed for which there is no evidence ...
Weak Interactions - University of Tennessee Physics
... A list circa 1980: Particle Content (i.e., 3 generations of quarks and leptons) Symmetries CPT (and Lorentz) Symmetry Gauge Symmetry (SU(3)×...×...) Unitarity Renormalizability This makes our theory predictive even as E → ∞! It is “UV complete”! This line of thinking ultimately yields a SU(3)c × SU( ...
... A list circa 1980: Particle Content (i.e., 3 generations of quarks and leptons) Symmetries CPT (and Lorentz) Symmetry Gauge Symmetry (SU(3)×...×...) Unitarity Renormalizability This makes our theory predictive even as E → ∞! It is “UV complete”! This line of thinking ultimately yields a SU(3)c × SU( ...
THE DISCOVERY OF ASYMPTOTIC FREEDOM AND THE EMERGENCE OF QCD
... theory to the strong interactions focused on elevating global flavor symmetries to local gauge symmetries. This was problematic since these symmetries were not exact. In addition non-Abelian gauge theories apparently required massless vector mesons -- clearly not a feature of the strong interactions ...
... theory to the strong interactions focused on elevating global flavor symmetries to local gauge symmetries. This was problematic since these symmetries were not exact. In addition non-Abelian gauge theories apparently required massless vector mesons -- clearly not a feature of the strong interactions ...
Wu_Y_H
... unique surface integration in Newtonian space time? • Can spinor field has a Newtonian correspondence? ...
... unique surface integration in Newtonian space time? • Can spinor field has a Newtonian correspondence? ...
High Density Quark Matter and Color Superconductivity
... all quarks paired or other paired phases are all potentially possible color superconductivity phase in the core of neutron stars. Based on the ”strange quark matter hypothesis” [4] [5], the nuclear matter in the neutron stars is metastable at zero pressure. This means the ground state of the compact ...
... all quarks paired or other paired phases are all potentially possible color superconductivity phase in the core of neutron stars. Based on the ”strange quark matter hypothesis” [4] [5], the nuclear matter in the neutron stars is metastable at zero pressure. This means the ground state of the compact ...
Studying Quantum Field Theory
... irreducible representation of C we will deduce that the twist should be positive: d − j1 − j2 = 1, 2, .... (Twist one only appears for free chiral fields - i.e., for j1 j2 = 0.) Remarkably, these are precisely the constraints that single out relativistic fields appearing in a local QFT (when no conf ...
... irreducible representation of C we will deduce that the twist should be positive: d − j1 − j2 = 1, 2, .... (Twist one only appears for free chiral fields - i.e., for j1 j2 = 0.) Remarkably, these are precisely the constraints that single out relativistic fields appearing in a local QFT (when no conf ...
Particle-vortex duality of two-dimensional Dirac fermion from electric
... obtained using a vortex condensation method [26,27]. Another, simpler topological order, the T-Pfaffian, with half as many anyons was also proposed [25,28], but despite its apparent simplicity could not be “derived” in an analogous fashion, or directly connected back to the superconducting surface s ...
... obtained using a vortex condensation method [26,27]. Another, simpler topological order, the T-Pfaffian, with half as many anyons was also proposed [25,28], but despite its apparent simplicity could not be “derived” in an analogous fashion, or directly connected back to the superconducting surface s ...
Module 2 : Electrostatics Lecture 6 : Quantization Of Charge
... The quantization of charge was experimentally established by Robert Millikan in 1909. Millikan sprayed a fine mist of oildrops into an evacuated chamber using an atomiser . The chamber has two metal plates, which are charged with high voltage. Some of the oil drops find their way into the region bet ...
... The quantization of charge was experimentally established by Robert Millikan in 1909. Millikan sprayed a fine mist of oildrops into an evacuated chamber using an atomiser . The chamber has two metal plates, which are charged with high voltage. Some of the oil drops find their way into the region bet ...
Surface transport in a hybrid Bi2Se3/Bi2Te3 heterostructure and
... If it is a topological insulator, the surface state behaves more like Bi2Se3 or Bi2Te3? ...
... If it is a topological insulator, the surface state behaves more like Bi2Se3 or Bi2Te3? ...