Quantum field theory for matter under extreme conditions
... This is the first part of a series of lectures whose aim is to provide the tools for the completion of a realistic calculation in quantum field theory (QFT) as it is relevant to Hadron Physics. Hadron Physics lies at the interface between nuclear and particle (high energy) physics. Its focus is an e ...
... This is the first part of a series of lectures whose aim is to provide the tools for the completion of a realistic calculation in quantum field theory (QFT) as it is relevant to Hadron Physics. Hadron Physics lies at the interface between nuclear and particle (high energy) physics. Its focus is an e ...
Studies of effective theories beyond the Standard Model
... The vast majority of all experimental results in particle physics can be described by the Standard Model (SM) of particle physics. However, neither the existence of neutrino masses nor the mixing in the leptonic sector, which have been observed, can be described within this model. In fact, the model ...
... The vast majority of all experimental results in particle physics can be described by the Standard Model (SM) of particle physics. However, neither the existence of neutrino masses nor the mixing in the leptonic sector, which have been observed, can be described within this model. In fact, the model ...
why do physicists think that there are extra dimensions
... direct searches in the next generation of WIMP detectors ...
... direct searches in the next generation of WIMP detectors ...
Effective Field Theory, Past and Future
... interactions.18 But during this period, from the late 1960s to the late 1970s, like many other particle physicists I was chiefly concerned with developing and testing the Standard Model of elementary particles. As it happened, the Standard Model did much to clarify the basis for chiral symmetry. Qua ...
... interactions.18 But during this period, from the late 1960s to the late 1970s, like many other particle physicists I was chiefly concerned with developing and testing the Standard Model of elementary particles. As it happened, the Standard Model did much to clarify the basis for chiral symmetry. Qua ...
Is there a stable hydrogen atom in higher dimensions?
... According to the analysis of Ehrenfest, see also Ref. 9, there are statements in all papers that in higher dimensions it is not possible to have stable atoms. It is one of our purposes in this paper to show that it is indeed possible to have stable atoms in higher dimensions. The main point is that ...
... According to the analysis of Ehrenfest, see also Ref. 9, there are statements in all papers that in higher dimensions it is not possible to have stable atoms. It is one of our purposes in this paper to show that it is indeed possible to have stable atoms in higher dimensions. The main point is that ...
188. Strong Electric Field Effect on Weak Localization
... On the other hand, we have previously developed a GLE approach to the electron quantum transport, which is capable of dealing both with the nonlinearity of impurity scattering [21] and the non-equilibrium situation due to the high electric field [22], basically from a first principles approach. Our ...
... On the other hand, we have previously developed a GLE approach to the electron quantum transport, which is capable of dealing both with the nonlinearity of impurity scattering [21] and the non-equilibrium situation due to the high electric field [22], basically from a first principles approach. Our ...
Aim #3 - Manhasset Schools
... factor of 4, and vertically by a scale factor of 1/3, If the area of T' is 24 units2, what is the area of figure T? ...
... factor of 4, and vertically by a scale factor of 1/3, If the area of T' is 24 units2, what is the area of figure T? ...
Coherent State Path Integrals
... where z is an arbitrary complex number and z̄ is the complex conjugate. The coherent state |z⟩ has the defining property of being a wave packet with optimal spread, i.e., the Heisenberg uncertainty inequality is an equality for these coherent states. How does â act on the coherent state |z⟩? ...
... where z is an arbitrary complex number and z̄ is the complex conjugate. The coherent state |z⟩ has the defining property of being a wave packet with optimal spread, i.e., the Heisenberg uncertainty inequality is an equality for these coherent states. How does â act on the coherent state |z⟩? ...
Block: ______ Geometry Review Unit 1
... No, the three points are not collinear. Yes, they lie on the line MP. Yes, they lie on the line NP. Yes, they lie on the line MO. ...
... No, the three points are not collinear. Yes, they lie on the line MP. Yes, they lie on the line NP. Yes, they lie on the line MO. ...
Mathematical Principles of Theoretical Physics
... The objectives of this book are to derive experimentally verifiable laws of Nature based on a few fundamental mathematical principles, and to provide new insights and solutions to a number of challenging problems of theoretical physics. This book focuses mainly on the symbiotic interplay between the ...
... The objectives of this book are to derive experimentally verifiable laws of Nature based on a few fundamental mathematical principles, and to provide new insights and solutions to a number of challenging problems of theoretical physics. This book focuses mainly on the symbiotic interplay between the ...
ESF 12p MISGAM_ok3.qxd - European Science Foundation
... population are of the same order. This is actively being applied to medical statistics, financial mathematics and communication technology. The four problems above and their time-perturbations are all solutions to integrable equations or lattices. Matrix integrals point the way to new integrable sys ...
... population are of the same order. This is actively being applied to medical statistics, financial mathematics and communication technology. The four problems above and their time-perturbations are all solutions to integrable equations or lattices. Matrix integrals point the way to new integrable sys ...
STATISTICAL FIELD THEORY
... methods can in fact be used to describe the large-scale properties of manyparticle systems at any temperature and not only near the critical one. Moreover, application of the renormalization group ideas does not only lead to an understanding of the static behaviour but also of the dynamical properti ...
... methods can in fact be used to describe the large-scale properties of manyparticle systems at any temperature and not only near the critical one. Moreover, application of the renormalization group ideas does not only lead to an understanding of the static behaviour but also of the dynamical properti ...
Local density of states in quantum Hall systems with a smooth
... Disorder averaging is questioned (at microscopic scale) question of origin of irreversibility and dissipation (crucial for transport) We are in a nonperturbative regime at high magnetic fields (kinetic energy frozen + degeneracy of Landau levels) Smooth disorder (finite correlation length) Complexit ...
... Disorder averaging is questioned (at microscopic scale) question of origin of irreversibility and dissipation (crucial for transport) We are in a nonperturbative regime at high magnetic fields (kinetic energy frozen + degeneracy of Landau levels) Smooth disorder (finite correlation length) Complexit ...
Scale invariance
In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilatations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity.In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale.In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle interactions does not depend on the energy of the particles involved.In statistical mechanics, scale invariance is a feature of phase transitions. The key observation is that near a phase transition or critical point, fluctuations occur at all length scales, and thus one should look for an explicitly scale-invariant theory to describe the phenomena. Such theories are scale-invariant statistical field theories, and are formally very similar to scale-invariant quantum field theories.Universality is the observation that widely different microscopic systems can display the same behaviour at a phase transition. Thus phase transitions in many different systems may be described by the same underlying scale-invariant theory.In general, dimensionless quantities are scale invariant. The analogous concept in statistics are standardized moments, which are scale invariant statistics of a variable, while the unstandardized moments are not.