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Quantum spin liquids as soft-
Quantum spin liquids as soft-

Lecture Notes on the Standard Model of Elementary Particle Physics
Lecture Notes on the Standard Model of Elementary Particle Physics

... course1 in theoretical physics, firstly given at the University of Bern during the fall semester 2010. The typical audience includes physics students holding a bachelor and then familiar with nonrelativistic quantum mechanics, special relativity, classical electrodynamics or, more generally, the cla ...
Quantum Gravity: the view from particle physics
Quantum Gravity: the view from particle physics

... Indeed, the question that occupied Einstein until the end of his life was this: can we understand the right hand side geometrically, thereby removing its arbitrariness? Put differently, is there a way of massaging the right hand ...
Concepts and Applications of Effective Field Theories: Flavor
Concepts and Applications of Effective Field Theories: Flavor

... uralness”. Unless there is a specific mechanism that could explain the smallness to an observable (which for simplicity we assume to be dimensionless) is ex onless numbers Ci , we should assume those numbers to be of O(1). The prese ...
Quantum orders in an exact soluble model
Quantum orders in an exact soluble model

... 50 years. In this respect, the fractional quantum Hall (FQH) states discovered in 1982[3, 4] opened a new chapter in condensed matter physics. The theory of phases and phase transitions entered into a new era. This is because all different FQH states have the same symmetry and hence cannot be descri ...
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... Coupling to fermions MODEL I: Only Φ2 couples to fermions. MODEL II: Φ2 couples to up-quarks, Φ1 to down quarks and leptons. ...
Cosmology in the Laboratory (COSLAB)
Cosmology in the Laboratory (COSLAB)

... In a modern viewpoint the Standard Model of the electroweak and strong interactions, and general relativity are also effective theories describing the low energy phenomena emergently arising in the quantum vacuum. Here again, the nature and physical structure of this medium – the quantum vacuum – o ...
The Nobel Prize in Physics 2008
The Nobel Prize in Physics 2008

... does not change when we look at it in a mirror, while the letter Z breaks this symmetry. On the other hand, Z looks the same when you turn it upside down, but if you do the same with the letter A, the symmetry will be broken. The basic theory for elementary particles describes three different princi ...
Symmetry Principles and Conservation Laws in Atomic and
Symmetry Principles and Conservation Laws in Atomic and

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Copyright c 2016 by Robert G. Littlejohn Physics 221A Fall 2016

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efectos de la presión hidrostática sobre la energía de enlace para
efectos de la presión hidrostática sobre la energía de enlace para

... The question of whether neutrino mass generation and DM are related has lead to a large number of models. In this work we focus on a particular realization, namely the radiative seesaw model [1]. In this scheme three right-handed neutrinos N j and a second Higgs doublet   (  , 0 ), odd under th ...
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transparencies

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non-relativistic Breit

... Ternary terms (with three fields) corresponds to three-vertices. E.g. the interaction term in the electro-magnetic Lagrange density with fermion fields: Lint = −Jµ Aµ = Qf ψ̄f γµ ψf Aµ where ψf = uf (p)e−ipx destroys a fermion, f (or creates the corresponding anti-fermion) ...
Quantum Theory of Particles and Fields
Quantum Theory of Particles and Fields

... energy scale that has some physical significance. Whatever the Lagrangian of QFTs was at the fundamental scale, as long as its couplings are sufficiently weak, it can be described at the interesting energy scales by a renormalizable effective Lagrangian of QFTs. Explanation to the renormalizability ...
Quantum Spins and Quantum Links: The D
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... one can view the 2-d antiferromagnetic quantum Heisenberg model in the zero temperature limit as a regularization of the 2-d O(3) model. It is remarkable that this D-theory formulation is entirely discrete, even though the model is usually formulated with a continuous classical configuration space. ...
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Lectures on effective field theory - Research Group in Theoretical

... a dynamical fixed point resulting from cosmic evolution. Such investigations are at the same time both fascinating — and possibly an incredible waste of time! To begin with I will not discuss effective field theories, however, but effective quantum mechanics. The essential issues of approximating sh ...
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Bose-Einstein spin condensates: revisiting the Einstein

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Enhanced Symmetries and the Ground State of String Theory
Enhanced Symmetries and the Ground State of String Theory

... potentials that tend to zero in some directions. This definition includes states which have a weakly coupled string theory limit or an M -theory limit. Virtually all ideas about the moduli problem which have been discussed to date involve approximate moduli. Alternatively, it could be that in the tr ...
Path integral approach to the heat kernel 1 Introduction
Path integral approach to the heat kernel 1 Introduction

... The fixing of a “renormalization condition” in this context essentially means fixing which value of α one chooses for the quantum theory. In the absence of other requirements, one may fix α = 0 as “renormalization conditions” (if needed, one may always introduce an additional coupling to R by redefi ...
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"Exactly solvable model of disordered two

... This means that we consider the ensemble of states with a field δ = const in a given state, but this constant is random in each realization . ...
dirac and majorana fermions
dirac and majorana fermions

... The parameter η runs from −∞ < η < ∞. Note that the velocity β = v = v/c and the Lorentz contraction factor γ = (1 − β 2 )−1/2 corresponding to the boost are related to η as γ = cosh η, βγ = sinh η. Using these explicit transformations, we have found the generators of rotations, J = (J 1 , J 2 , J 3 ...
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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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