slides - Frontiers of Fundamental Physics (FFP14)
... On the Relation Betweeen Gauge and Phase Symmetries Gabriel Catren Laboratoire SPHERE - Sciences, Histoire, Philosophie (UMR 7219) - Université Paris Diderot/CNRS ERC Project Philosophy of Canonical Quantum Gravity ...
... On the Relation Betweeen Gauge and Phase Symmetries Gabriel Catren Laboratoire SPHERE - Sciences, Histoire, Philosophie (UMR 7219) - Université Paris Diderot/CNRS ERC Project Philosophy of Canonical Quantum Gravity ...
Beyond the Standard Model
... The first version of these notes was written up for lectures at the 1995 AIO-school (a school for PhD students) on theoretical particle physics. Later they were adapted for lectures at the Radboud University in Nijmegen, aimed at undergraduate students in their fourth year. This means that no detail ...
... The first version of these notes was written up for lectures at the 1995 AIO-school (a school for PhD students) on theoretical particle physics. Later they were adapted for lectures at the Radboud University in Nijmegen, aimed at undergraduate students in their fourth year. This means that no detail ...
Lattice quantum field theory
... Therefore, the lattice version of a quantum field theory may in the end be actually even be a better approximation of nature than a continuum theory, if both should not coincide. These remarks show the conceptual importance of lattice quantum field theories. There is also a technical important one. ...
... Therefore, the lattice version of a quantum field theory may in the end be actually even be a better approximation of nature than a continuum theory, if both should not coincide. These remarks show the conceptual importance of lattice quantum field theories. There is also a technical important one. ...
15. GRAND UNIFIED THEORIES 15. Grand Unified Theories 15.1. Grand Unification 1
... Finally, larger symmetry groups have been considered. For example, E(6) has a fundamental representation 27, which under SO(10) transforms as a [16 + 10 + 1]. The breaking pattern E(6) → SU(3)C × SU(3)L × SU(3)R is also possible. With the additional permutation symmetry Z(3) interchanging the three ...
... Finally, larger symmetry groups have been considered. For example, E(6) has a fundamental representation 27, which under SO(10) transforms as a [16 + 10 + 1]. The breaking pattern E(6) → SU(3)C × SU(3)L × SU(3)R is also possible. With the additional permutation symmetry Z(3) interchanging the three ...
Non-linear field theory with supersymmetry
... as well as in astrophysics and cosmology [10, 11]. As it is also believed to provide a more accurate description of hydrodynamical phenomena, much work has been invested in its development [51, 52]. Recently, an interesting extension of the theory to include non-abelian charges and currents has been ...
... as well as in astrophysics and cosmology [10, 11]. As it is also believed to provide a more accurate description of hydrodynamical phenomena, much work has been invested in its development [51, 52]. Recently, an interesting extension of the theory to include non-abelian charges and currents has been ...
iBios – Portal Project Integrative Toolbox Using Grid
... • How can pointlike fermions have spin and finite classical self-energy? What is the reason for their apparent pointlike- ...
... • How can pointlike fermions have spin and finite classical self-energy? What is the reason for their apparent pointlike- ...
Quantum gauge theory simulation with ultracold atoms
... The study of ultracold atoms constitutes one of the hottest areas of atomic, molecular, and optical physics and quantum optics. The experimental and theoretical achievements in the last three decades in the control and manipulation of quantum matter at macroscopic scales lead to the so called third ...
... The study of ultracold atoms constitutes one of the hottest areas of atomic, molecular, and optical physics and quantum optics. The experimental and theoretical achievements in the last three decades in the control and manipulation of quantum matter at macroscopic scales lead to the so called third ...
Quantum Field Theory and Composite Fermions in the Fractional
... KSvKE00, TEPW07]. The quality of being a macroscopic quantum effect and its connection to topological quantum numbers and braid group or fractional statistics is the basis for the idea that the fractional Hall system is a possible candidate for the realization of a quantum computer [Wan06]. One prom ...
... KSvKE00, TEPW07]. The quality of being a macroscopic quantum effect and its connection to topological quantum numbers and braid group or fractional statistics is the basis for the idea that the fractional Hall system is a possible candidate for the realization of a quantum computer [Wan06]. One prom ...
Introduction to Integrable Models
... • different choice of symmetry algebra. The spin 1/2 spin chain corresponds to su(2), but any Lie algebra or even super-algebra can be chosen instead. • for the rank of the symmetry algebra r > 1, there are more particle species on the chain, e.g. ↑, ↓, ◦ (hole) of the tJ–model, where ↑, ↓ are fermi ...
... • different choice of symmetry algebra. The spin 1/2 spin chain corresponds to su(2), but any Lie algebra or even super-algebra can be chosen instead. • for the rank of the symmetry algebra r > 1, there are more particle species on the chain, e.g. ↑, ↓, ◦ (hole) of the tJ–model, where ↑, ↓ are fermi ...
Phase transition in gauge theories, monopoles and the Multiple
... implemented to the Standard Model (SM), Family replicated gauge group model (FRGGM) and phase transitions in gauge theories with/without monopoles. Using renormalization group equations for the SM, the effective potential in the two–loop approximation is investigated, and the existence of its postul ...
... implemented to the Standard Model (SM), Family replicated gauge group model (FRGGM) and phase transitions in gauge theories with/without monopoles. Using renormalization group equations for the SM, the effective potential in the two–loop approximation is investigated, and the existence of its postul ...
Probing gauge theories: Exact results and holographic computations
... One of the most fundamental ingredients in modern theoretical physics, and in string theory in particular, is the notion of duality, the exact equivalence between two systems or theories with different descriptions but with the same underlying physics. The very first discovery of an exact duality in ...
... One of the most fundamental ingredients in modern theoretical physics, and in string theory in particular, is the notion of duality, the exact equivalence between two systems or theories with different descriptions but with the same underlying physics. The very first discovery of an exact duality in ...
Particle-vortex duality of two-dimensional Dirac fermion from electric
... EM duality relates the double monopole condensate and the Higgs condensate, consistent with obtaining a TI from both descriptions. ...
... EM duality relates the double monopole condensate and the Higgs condensate, consistent with obtaining a TI from both descriptions. ...
Symmetry breaking - Corso di Fisica Nucleare
... The term symmetry derives from the Greek word συµµτ ρια (meaning with measure) and originally indicated a relation of commensurability (such is the meaning codified in Euclid’s Elements for example). It quickly acquired a further, more general, meaning: that of a proportion relation, grounded on (i ...
... The term symmetry derives from the Greek word συµµτ ρια (meaning with measure) and originally indicated a relation of commensurability (such is the meaning codified in Euclid’s Elements for example). It quickly acquired a further, more general, meaning: that of a proportion relation, grounded on (i ...
Measurability of Wilson loop operators
... where (R) denotes the character of the representation D (R) . The Wilson loop operator does not depend on how the point x 0 on the loop C is chosen. In much of what follows, we will assume for notational simplicity that the unbroken gauge group G is finite; however, our arguments can be easily ext ...
... where (R) denotes the character of the representation D (R) . The Wilson loop operator does not depend on how the point x 0 on the loop C is chosen. In much of what follows, we will assume for notational simplicity that the unbroken gauge group G is finite; however, our arguments can be easily ext ...
Introduction and Theoretical Background
... Lagrangian preserves gauge invariance, despite the fact that the particular state that describes nature does not exhibit SU (2) × U (1) symmetry. In this sense the symmetry is said to be “spontaneously broken”. The upshot of the spontaneous symmetry breaking is that in nature the scalar fields will t ...
... Lagrangian preserves gauge invariance, despite the fact that the particular state that describes nature does not exhibit SU (2) × U (1) symmetry. In this sense the symmetry is said to be “spontaneously broken”. The upshot of the spontaneous symmetry breaking is that in nature the scalar fields will t ...
Introduction to Spontaneous Symmetry Breaking
... group G . As a consequence, the particles will form multiplets of symm group H . For example, if symmetry SU (2 ) SU (2 ) is spontaneously broken to SU (2 ) , particles will form SU (2 ) multiplets Ling-Fong Li (Carnegie Mellon University) Introduction to Spontaneous Symmetry Breaking 2011 BCVSPIN, ...
... group G . As a consequence, the particles will form multiplets of symm group H . For example, if symmetry SU (2 ) SU (2 ) is spontaneously broken to SU (2 ) , particles will form SU (2 ) multiplets Ling-Fong Li (Carnegie Mellon University) Introduction to Spontaneous Symmetry Breaking 2011 BCVSPIN, ...
CONCEPTUAL FOUNDATIONS OF THE UNI- FIED THEORY OF WEAK AND ELECTROMAG-
... interactions have a spontaneously broken approximate SU(2) X SU(2) symmetry, but also that the currents of this symmetry group are, up to an overall constant, to be identified with the vector and axial vector currents of beta decay. (With this assumption ga/gv gets into the picture through the Goldb ...
... interactions have a spontaneously broken approximate SU(2) X SU(2) symmetry, but also that the currents of this symmetry group are, up to an overall constant, to be identified with the vector and axial vector currents of beta decay. (With this assumption ga/gv gets into the picture through the Goldb ...
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... the energy of quark confinement as the origin of the nucleon mass, we have explained nearly all the visible mass of the Universe, since the luminous matter is essentially made of protons and neutrons in stars. To excellent approximation, that visible mass of the Universe arises from QCD—not from the ...
... the energy of quark confinement as the origin of the nucleon mass, we have explained nearly all the visible mass of the Universe, since the luminous matter is essentially made of protons and neutrons in stars. To excellent approximation, that visible mass of the Universe arises from QCD—not from the ...
Non-perturbative Quantum Electrodynamics in low
... dimensional versions of QED can still excite the curiosity of theoreticians, as well as condensed matter physicists. Although interesting for their own sake, these theories provide also valuable playgrounds to study more realistic quantum field theories, as for example quantum chromodynamics. Beside ...
... dimensional versions of QED can still excite the curiosity of theoreticians, as well as condensed matter physicists. Although interesting for their own sake, these theories provide also valuable playgrounds to study more realistic quantum field theories, as for example quantum chromodynamics. Beside ...
Non-equilibrium and local detection of the normal fraction of a
... thermodynamic measurements of the energy [21–25]. The second method to measure the normal fraction is by optical means. It is discussed in Sec.V A. The spatially modulated gauge field is imposed using the same laser beam configuration in a continuous wave regime to generate a stationary current patt ...
... thermodynamic measurements of the energy [21–25]. The second method to measure the normal fraction is by optical means. It is discussed in Sec.V A. The spatially modulated gauge field is imposed using the same laser beam configuration in a continuous wave regime to generate a stationary current patt ...
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 ...
Anomaly driven signatures of new invisible physics
... topological nature and are therefore scale independent. As a result, they are not suppressed even at energies much smaller than the masses of the particles producing these terms via loop effects. This gives hope to see some signatures at low energies generated by new high-energy physics. One possibi ...
... topological nature and are therefore scale independent. As a result, they are not suppressed even at energies much smaller than the masses of the particles producing these terms via loop effects. This gives hope to see some signatures at low energies generated by new high-energy physics. One possibi ...
Ten Lectures on the ElectroWeak Interactions
... interactions. Partially this is because I consider the Lagrangian of QuantumCromoDynamics more likely to be established then the ElectroWeak sector of the Standard Model, although not to be confused with the statement that there are no important open problems in the physics of the strong interaction ...
... interactions. Partially this is because I consider the Lagrangian of QuantumCromoDynamics more likely to be established then the ElectroWeak sector of the Standard Model, although not to be confused with the statement that there are no important open problems in the physics of the strong interaction ...
Lokal fulltext - Chalmers tekniska högskola
... However, M -theory, or even any of the five kinds of string theories that exist, is not the focus of this thesis. This rather deals with a closely related set of theories: supersymmetric field theories. These can be thought of as some low-energy limits of string theory, and understanding these theor ...
... However, M -theory, or even any of the five kinds of string theories that exist, is not the focus of this thesis. This rather deals with a closely related set of theories: supersymmetric field theories. These can be thought of as some low-energy limits of string theory, and understanding these theor ...
Physics through Extra Dimensions: On Dualities, Unification, and Pair Production
... factors. The quotients are such that the internal space has a finite, non-trivial fundamental group, and we construct a grand unified model in which the breaking of the gauge symmetry by Wilson lines to the standard model arises naturally. This model provides the basis for the study of unification f ...
... factors. The quotients are such that the internal space has a finite, non-trivial fundamental group, and we construct a grand unified model in which the breaking of the gauge symmetry by Wilson lines to the standard model arises naturally. This model provides the basis for the study of unification f ...