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Exploring New Paradigm
Exploring New Paradigm

A Brief Review of Thomas-Fermi Theory
A Brief Review of Thomas-Fermi Theory

... will not reach that level. Also, Larry, together with Mueller and Rau [MRS] was one of the pioneers of the use of Thomas-Fermi type theories to understand atoms in ultra-large magnetic fields. It is, therefore, a good opportunity to try to review the older theory and bring together some recent devel ...
Progress In N=2 Field Theory - Rutgers Physics
Progress In N=2 Field Theory - Rutgers Physics

Stationarity Principle for Non-Equilibrium States
Stationarity Principle for Non-Equilibrium States

... Université de Montréal C.P. 6128, succ. Centre-Ville Montréal, Québec H3C 3J7 (Canada) ...
Mean field theory and Hartree
Mean field theory and Hartree

... Here D̂ contains the “direct” terms, and Ê contains the “exchange” terms. The third part of both D̂ and Ê is an average, not an operator, and doesn’t affect dynamics, just total energy. It can be dropped for now. The first two terms of both D̂ and Ê are identical, after re-labeling indices, and a ...
slides - 7th MATHEMATICAL PHYSICS MEETING
slides - 7th MATHEMATICAL PHYSICS MEETING

Fulltext PDF
Fulltext PDF

... to a distant planet. All this has been possible only because of electromagnetic waves. It turns out that the dynamics of strong and weak forces was formulated around 1975, almost 100 years after the formulation of electrodynamics. We may expect that equally profound applications will follow, once th ...
More on the MASS GAP and YANG-MILLS
More on the MASS GAP and YANG-MILLS

... So my solution is not a bridging of the mass gap, it is a tearing down of the mass gap. I have shown that the problem is a manufactured problem, created only by faulty math. There is no mass gap because there is no limit at c, and there is no limit at c because gamma has been in the wrong form from ...
Neitzke: What is a BPS state?
Neitzke: What is a BPS state?

... is only holomorphic in one of them. To get a holomorphic picture of all the D simultaneously you have to consider the twistor family of Q, which is of complex dimension 3 and roughly glues together all the complex structures of Q: inside there we could identify the BPS states as holomorphic curves w ...
gauge theory - CERN Indico
gauge theory - CERN Indico

... • First example of a gauge theory beyond QED was the Yang-Mills theory (1954), a gauge theory of isospin SU(2) symmetry. — same theory also proposed by Salam’s student Ronald Shaw, but unpublished except as a Cambridge University PhD thesis — ultimately not correct theory of strong interactions, but ...
Kondo Screening Cloud Around a Quantum Dot
Kondo Screening Cloud Around a Quantum Dot

... The screening of an impurity spin by conduction electrons, the Kondo effect, is believed by many to be associated with the formation of a ‘‘screening cloud’’ around the impurity with a size K  vF =TK where vF is the Fermi velocity and TK is the Kondo temperature, the characteristic energy scale as ...
Symmetries in Conformal Field Theory
Symmetries in Conformal Field Theory

... if it lands in the subspace of closed forms, so is given by a map to H n−1 (X). In particular this means that charges are independent of the homology class of the codimension 1 submanifold. We’ll use the following fundamental theorem from classical field theory Theorem 1.3 (Noether’s Theorem). There ...
New geometric concepts in the foundations of physics
New geometric concepts in the foundations of physics

Symmetry breaking and the deconstruction of mass
Symmetry breaking and the deconstruction of mass

shp_09 - Nevis Laboratories
shp_09 - Nevis Laboratories

Derived categories in physics
Derived categories in physics

Final
Final

Theoretical study of the phase evolution in a quantum dot in the
Theoretical study of the phase evolution in a quantum dot in the

... Generalized Levinson’s theorem ...
NonequilibriumDynamicsofQuarkGluonPlasma
NonequilibriumDynamicsofQuarkGluonPlasma

... Boltzmann-Langevin equation can be obtained from full QFT as the kinetic limit if the full stochastic Dyson equations (Calzetta/Hu) But, in the semiclassical limit the soft modes have a large occupation number, so can arrive at the Boltzmann-Langevin equation even in classical ...
Electroweak Interactions : Neutral currents in neutrino`lepton elastic
Electroweak Interactions : Neutral currents in neutrino`lepton elastic

... The structure of such currents follows from the fact that both the weak and the electromagnetic interactions are uni…ed into a single electroweak interaction in the framework of a gauge theory, based upon the SU(2) U(1) group. The GWS theory is based on the assumption of the existence of charged an ...
The String Theory Landscape
The String Theory Landscape

A quantum calculation of the higher order terms in the Bloch
A quantum calculation of the higher order terms in the Bloch

Physical Laws of Nature vs Fundamental First Principles
Physical Laws of Nature vs Fundamental First Principles

... • αAµ + βWµ3 will have no meaning if we perform a transformation. The combination αAµ +βWµ3 in the classical electroweak theory and in the standard model is due to the particular way of coupling the Higgs fields and the gauge fields. Also, the same difficulty appears in the Einstein route of unifica ...
Yes, but. .. Some Skeptical Remarks on Realism and Anti
Yes, but. .. Some Skeptical Remarks on Realism and Anti

... theory beyond this? - what "more" should a theory afford than a representation - in a suitable sense correct, and in a suitable sense adequate - of pheomena? The standard response to this question seems to me, I am afraid, no less trite and shallow than the trite and shallow version of instrumentali ...
5. Quantum Field Theory (QFT) — QED Quantum Electrodynamics
5. Quantum Field Theory (QFT) — QED Quantum Electrodynamics

... • QED includes one charged particle (ψ) and the photon (Aµ) – the charged particle ψ (i.e. the electron) has the bare mass m0 ∗ ψ is understood as a 4-component Dirac spinor ∗ fulfilling the Dirac equation (i∂/ − m0)ψ = 0 ∗ ψ̄ = ψ †γ 0 is the adjoint spinor – and couples to the photon with the bare ...
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Yang–Mills theory

Yang–Mills theory is a gauge theory based on the SU(N) group, or more generally any compact, semi-simple Lie group. Yang–Mills theory seeks to describe the behavior of elementary particles using these non-Abelian Lie groups and is at the core of the unification of the electromagnetic and weak forces (i.e. U(1) × SU(2)) as well as quantum chromodynamics, the theory of the strong force (based on SU(3)). Thus it forms the basis of our understanding of particle physics, the Standard Model.
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