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Vacuum Energy and Effective Potentials
Vacuum Energy and Effective Potentials

... a constant, it does not have any observable effects besides renormalizing the cosmological constant Λ. Consequently, most of the time we do not pay any attention to the vacuum energy or its divergences. But sometimes the vacuum energy depends on some parameters of the theory that we may vary, and th ...
Plentiful Nothingness: The Void in Modern Art and Modern Science
Plentiful Nothingness: The Void in Modern Art and Modern Science

... Yakov Zeldovich (1967): Virtual particles bubbling out of the vacuum of quantum field theory contribute to the cosmological constant Λ • zero-point energy of a harmonic oscillator (vacuum = ground state) E= ...
Two-dimensional SYM theory with fundamental mass and Chern
Two-dimensional SYM theory with fundamental mass and Chern

... • Supersymmetric Discretized Light-Cone Quantization (SDLCQ) is a practical tool to calculate bound state masses, structure functions and more • Generated mass term for fundamentals from VEV of perpendicular gauge boson in higher dimensional theory • Studied masses and bound-state properties as a fu ...
PPT - Florida Institute of Technology
PPT - Florida Institute of Technology

... Himali Kalakhety, Marcus Hohlmann Department of Physics and Space Sciences Florida Institute of Technology ...
Spontaneous Symmetry Breaking
Spontaneous Symmetry Breaking

... spins. However, the ground state “spontaneously” chooses a particular orientation and hence is not invariant under the symmetry (rotation). To simplify the discussion, let us imagine a spin chain, i.e., a one-dimensional lattice of N sites with periodic boundary condition. We take the limit N → ∞ at ...
Quantum gravitational contributions to quantum electrodynamics
Quantum gravitational contributions to quantum electrodynamics

... of the gravity and electromagnetic fields. The first term is the result of integrating over the spacetime metric and electromagnetic fields; ∆i j is a second order differential operator that can be found from earlier work 22,23 and will not be written down here due to its complexity. It is found by ...
Exploring New Paradigm
Exploring New Paradigm

... Hilbert space to another one — symmetry breaking—conceptual breakthrough ...
Properties
Properties

... • Obtained by introducing a branch cut at a particular instant of ``time’’ along the spatial region of interest • And identifying values of fields at bottom of branch cut in one copy with their values above the cut in the next. ...
Phenomenology of Higgs Bosons Beyond the Standard Model
Phenomenology of Higgs Bosons Beyond the Standard Model

... It should be noted that, in general, other continuous symmetries (groups) than SU(N) can be gauged. In addition, one can have the matter-fields Φi , Ψi to transform under a different representation of the gauge-group. Every continuous group can be characterized by its Lie algebra [T a , T b ] = i f ab ...
Goals, models, frameworks and the scientific method
Goals, models, frameworks and the scientific method

... At that time there was no definite prediction of how the Higgs mechanism should be tested, and no definite model – just a mechanism within a framework. But by the end of the 1960s, using both the Higgs mechanism and a novel class of QFT models due to Yang and Mills 12 which dated back to 1954, a sin ...
arXiv:1412.5987v1 [hep-ex] 18 Dec 2014
arXiv:1412.5987v1 [hep-ex] 18 Dec 2014

... kinematic distributions of gluons producing the J/ψ or the ψ(2S) are rather similar and since the coherent energy loss does not depend on the final quantum numbers of the resonances, the same theoretical calculations hold for both J/ψ and ψ(2S). Theoretical models predict y dependence which are in r ...
Gauge Field Theory - High Energy Physics Group
Gauge Field Theory - High Energy Physics Group

... ψ ∗ ψ, which we interpret as the probability density in QM, is conserved, meaning that the probability interpretation is a consistent one. This conservation of the total probability to find a particle in QM is both its salvation and its downfall. Not only does it tell us that QM is consistent in the ...
Gauge Field Theory - High Energy Physics Group
Gauge Field Theory - High Energy Physics Group

... ψ ∗ ψ, which we interpret as the probability density in QM, is conserved, meaning that the probability interpretation is a consistent one. This conservation of the total probability to find a particle in QM is both its salvation and its downfall. Not only does it tell us that QM is consistent in the ...
Euler Lagrange Equation
Euler Lagrange Equation

... Physical systems will evolve in such a way to minimize the action ...
Beyond the Standard Model - Southampton High Energy Physics
Beyond the Standard Model - Southampton High Energy Physics

... FlaviaNet meeting in honour of Chris Sachrajda John Ellis ...
Blue Border - Michigan State University
Blue Border - Michigan State University

... equally. Another way of saying it is: a balanced perspective. This is extremely difficult in science, in practice, because we're human beings and, somewhat automatically, have a preference for: ideas/concepts which fit our rational framework, ideas/concepts which fit our belief/religious system, and ...
Contents
Contents

... J1 Particles and interactions 1a. Elementary particles -an elementary or fundamental particle is one that is not composed of anything smaller. -there are three types of elementary particles, leptons, quarks and exchange bosons. -leptons are particles that feel the weak force but do not feel the stro ...
Lecture 4
Lecture 4

... ★ For QED local gauge invariance implies that the photon is massless. ★ In theories with local gauge invariance a conserved quantum number implies a long range field. ■ e.g. electric and magnetic field ● There are other quantum numbers that are similar to electric charge (e.g. lepton number, bar ...
The role of the electromagnetic field in the formation of domains in
The role of the electromagnetic field in the formation of domains in

... field ψ(x, t). This is a well known story. In the present paper, given the above connection between the matter field and the e.m. field, we wish to discuss, in the frame of QFT, the rôle played by the e.m. field in the locking of the phases of the e.m. modes and of the matter components on an exte ...
Chern-Simons Inflation and Baryogenesis?
Chern-Simons Inflation and Baryogenesis?

... background gauge fields and fermion current. ...
Particle Physics
Particle Physics

... Corresponds to rotating states in colour space about an axis whose direction is different at every space-time point interaction vertex:  Predicts 8 massless gauge bosons – the gluons (one for each ...
Particle Physics - UW High Energy Physics
Particle Physics - UW High Energy Physics

... In the early universe just after the Big Bang the temperatures were high and matterantimatterradiation field transitions were predominant – As the Universe cooled to below 2Melectron these transitions stopped – There must have been some asymmetry that led to matter domination – There must have been ...
spin
spin

...  We can generalise the approach to lattice models and calculate the renormalised parameters within DMFT, including an arbitrary magnetic field, and for broken symmetry states. ...
Deconfined Quantum Criticality
Deconfined Quantum Criticality

... On the basis of the LGW paradigm, the critical phenomena of a quantum system at T = 0 can be mapped into the classical system with the dimensionality d → d + z. Here the extra dimension z is a dynamical exponent, which tells how the space and the time are connected in phase transition. This exponent ...
Derived categories in physics
Derived categories in physics

... The decomposition conjecture predicts ...
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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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