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Neutrino Oscillations and Beyond Standard Model Physics
Neutrino Oscillations and Beyond Standard Model Physics

... Dirac: need 4 independent states to describe a massive fermion (spin-1/2 particle) BUT: in the SM there are no “right-handed neutrinos” ...
Ontological Aspects of Quantum Field Theory edited by
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Monday, Nov. 20, 2006
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The Haldane-charge conjecture
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... (2) is equivalent to the U(2N ) Hubbard model. The degeneracies of the energy-spectrum (8) with V = 0 are related to the dimensions of representations of the SU(2N ) group. In particular, when U > 0, we observe from Eq. (8) that the lowest-energy states correspond to n = N and transform in the antis ...
CHAPTER 14: Elementary Particles
CHAPTER 14: Elementary Particles

... mesons and baryons. Mesons are particles with integral spin having masses greater than that of the muon (106 MeV/c2). (Mesons are made up of pairs of quarks—a quark and an anti-quark.) They’re unstable and rare. Baryons have masses at least as large as the proton and have halfintegral spins. Baryons ...
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... Looking back over the contents of this thesis, and indeed my life during the past 6 years, I can’t resist evoking one of my favorite quotes from J.R.R. Tolkien, who reminds us: “Not all who wander are lost”. Indeed, the most rewarding part of assembling what follows was to see, in retrospect, the pa ...
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BPS Geometry, AdS/CFT, and String Theory
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... dimensions so that some of them must be compactified to give a realistic model. Compactifying on a noncommutative instead of a commutative torus amounts to turning on a constant background 3-form C. An alternative interpretation based on D-branes on tori in presence of a Neveu-Schwarz B-field was gi ...
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9691 KB pdf file

... Ns and Nt are the number of sites in the spatial and temporal directions respectively. Quark fields are defined on the sites, while the gauge fields are defined as SU(3) matrix valued fields on the links joining the sites. Describing the fermions on the lattice is complicated by the fermion doubling ...
Exotic path integrals and dualities
Exotic path integrals and dualities

... One of the starting points to understand the new connections between geometry and physics is the insight in 1982 that a complete physical description of Morse theory could be given in terms of supersymmetric quantum mechanics. This connected two, until then completely disparate, areas of science. Mo ...
Symmetry Defs and Properties
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BUSSTEPP Lectures on String Theory
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... The main references for string theory used during the course were the standard books on the subject [31, 47] and the more recent review article [37]. The prerequisite supersymmetry lectures can be found in [20].1 The lectures were delivered in the morning and exercises were assigned for the tutorial ...
String Theory
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... the laws of physics emerge. General relativity, electromagnetism and Yang-Mills gauge theories all appear in a surprising fashion. However, they come with baggage. String theory gives rise to a host of other ingredients, most strikingly extra spatial dimensions of the universe beyond the three that ...
N-Symmetry Direction Fields on Surfaces of Arbitrary Genus
N-Symmetry Direction Fields on Surfaces of Arbitrary Genus

... This section presents tools useful in the study of direction fields defined on surfaces with boundaries, and especially to study their topology. Topology is the study of properties which are invariant by continuous deformations (without cutting or gluing things), called homotopies. In other word, to ...
Supersymmetry (SUSY)
Supersymmetry (SUSY)

... A Lorentz scalar only has integer valued angular momentum but fermions also have 1/2 integer spin in addition to orbital angular momentum. Need Spin operator ...
String Theory - damtp - University of Cambridge
String Theory - damtp - University of Cambridge

... the laws of physics emerge. General relativity, electromagnetism and Yang-Mills gauge theories all appear in a surprising fashion. However, they come with baggage. String theory gives rise to a host of other ingredients, most strikingly extra spatial dimensions of the universe beyond the three that ...
line of symmetry.
line of symmetry.

... plane NLM ...
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Higgs mechanism

In the Standard Model of particle physics, the Higgs mechanism is essential to explain the generation mechanism of the property ""mass"" for gauge bosons. Without the Higgs mechanism, or some other effect like it, all bosons (a type of fundamental particle) would be massless, but measurements show that the W+, W−, and Z bosons actually have relatively large masses of around 80 GeV/c2. The Higgs field resolves this conundrum. The simplest description of the mechanism adds a quantum field (the Higgs field) that permeates all space, to the Standard Model. Below some extremely high temperature, the field causes spontaneous symmetry breaking during interactions. The breaking of symmetry triggers the Higgs mechanism, causing the bosons it interacts with to have mass. In the Standard Model, the phrase ""Higgs mechanism"" refers specifically to the generation of masses for the W±, and Z weak gauge bosons through electroweak symmetry breaking. The Large Hadron Collider at CERN announced results consistent with the Higgs particle on March 14, 2013, making it extremely likely that the field, or one like it, exists, and explaining how the Higgs mechanism takes place in nature.The mechanism was proposed in 1962 by Philip Warren Anderson, following work in the late 1950s on symmetry breaking in superconductivity and a 1960 paper by Yoichiro Nambu that discussed its application within particle physics. A theory able to finally explain mass generation without ""breaking"" gauge theory was published almost simultaneously by three independent groups in 1964: by Robert Brout and François Englert; by Peter Higgs; and by Gerald Guralnik, C. R. Hagen, and Tom Kibble. The Higgs mechanism is therefore also called the Brout–Englert–Higgs mechanism or Englert–Brout–Higgs–Guralnik–Hagen–Kibble mechanism, Anderson–Higgs mechanism, Anderson–Higgs-Kibble mechanism, Higgs–Kibble mechanism by Abdus Salam and ABEGHHK'tH mechanism [for Anderson, Brout, Englert, Guralnik, Hagen, Higgs, Kibble and 't Hooft] by Peter Higgs.On October 8, 2013, following the discovery at CERN's Large Hadron Collider of a new particle that appeared to be the long-sought Higgs boson predicted by the theory, it was announced that Peter Higgs and François Englert had been awarded the 2013 Nobel Prize in Physics (Englert's co-author Robert Brout had died in 2011 and the Nobel Prize is not usually awarded posthumously).
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