Physical Laws of Nature vs Fundamental First Principles
... • We have derived experimentally verifiable laws of Nature based only on a few fundamental first principles, guided by experimental and observation evidences. • We have discovered three fundamental principles: the principle of interaction dynamics (PID), (MA-Wang, 2012), the principle of representat ...
... • We have derived experimentally verifiable laws of Nature based only on a few fundamental first principles, guided by experimental and observation evidences. • We have discovered three fundamental principles: the principle of interaction dynamics (PID), (MA-Wang, 2012), the principle of representat ...
Minimal separable quantizations of Stäckel systems
... of the Hamiltonian (1) in the metric g (that also de…nes the operators ri of the asociated Levi-Civita connection). In the standard approach to the quantization of (1) one assumes that g = A 1 (as it has been done in the classical works [1] and [2] devoted to the problem of separability of classical ...
... of the Hamiltonian (1) in the metric g (that also de…nes the operators ri of the asociated Levi-Civita connection). In the standard approach to the quantization of (1) one assumes that g = A 1 (as it has been done in the classical works [1] and [2] devoted to the problem of separability of classical ...
Nonlincourse13
... Defining w=q+i p, Eq. (6.47) for w (through O(e)) is rederived. Thus, of the infinite number of canonical transformations that one may generate in the classical problem, the one that only retains all the resonant terms is the analog of the usual diagonalization procedure in the corresponding quantum ...
... Defining w=q+i p, Eq. (6.47) for w (through O(e)) is rederived. Thus, of the infinite number of canonical transformations that one may generate in the classical problem, the one that only retains all the resonant terms is the analog of the usual diagonalization procedure in the corresponding quantum ...
Properties
... We cannot do local operations, involving gauge invariant operators, and change the superselection sector ...
... We cannot do local operations, involving gauge invariant operators, and change the superselection sector ...
Rehearsal questions
... 1. What type of particles are described by the Klein-Gordon equation? Is there any such particle in the SM? 2. What type of particles are described by the Dirac equation? 3. How many Dirac matrices are there? 4. There are four solutions to the Dirac equations. What do they represent? 5. How many ind ...
... 1. What type of particles are described by the Klein-Gordon equation? Is there any such particle in the SM? 2. What type of particles are described by the Dirac equation? 3. How many Dirac matrices are there? 4. There are four solutions to the Dirac equations. What do they represent? 5. How many ind ...
Particle Physics on Noncommutative Spaces
... • How does the Standard Model of particle physics which is a gauge theory based on the group SU(3)SU(2)U(1), emerge as a low energy action of a noncommutative gauge theory? • The main difficulty is to implement symmetries on NC spaces. • We need to understand how to implement SU(N) gauge symmetrie ...
... • How does the Standard Model of particle physics which is a gauge theory based on the group SU(3)SU(2)U(1), emerge as a low energy action of a noncommutative gauge theory? • The main difficulty is to implement symmetries on NC spaces. • We need to understand how to implement SU(N) gauge symmetrie ...
Wednesday, Nov. 15, 2006
... And A A l is a gauge transformation of an electromagnetic potential. Wednesday, Nov. 15, 2006 ...
... And A A l is a gauge transformation of an electromagnetic potential. Wednesday, Nov. 15, 2006 ...
Quantum field theory on a quantum space
... The idea will be to represent the matter part of the Hamiltonian constraint as a parameterized Dirac observable for the gravitational variables and we can therefore evaluate its expectation value on states of the physical space of states of vacuum gravity. We choose states very peaked around a Schwa ...
... The idea will be to represent the matter part of the Hamiltonian constraint as a parameterized Dirac observable for the gravitational variables and we can therefore evaluate its expectation value on states of the physical space of states of vacuum gravity. We choose states very peaked around a Schwa ...
No Slide Title
... •These Dirac fermions generate 3 currents, J = (g ) •These particles carry a “charge” g, which is the source for the 3 “gauge” fields ...
... •These Dirac fermions generate 3 currents, J = (g ) •These particles carry a “charge” g, which is the source for the 3 “gauge” fields ...
Final Exam
... b) If one uses a local section to pull-back CS(A) to a 3-form CS(A) base, under change of section by some local function on a coordinate patch U , ^ changes by the addition of two terms, one Φ : U → SU (2), show that CS(A) proportional to the exact form d(tr((dΦ)Φ−1 ∧ ω)) ...
... b) If one uses a local section to pull-back CS(A) to a 3-form CS(A) base, under change of section by some local function on a coordinate patch U , ^ changes by the addition of two terms, one Φ : U → SU (2), show that CS(A) proportional to the exact form d(tr((dΦ)Φ−1 ∧ ω)) ...
1 Axial Vector Current Anomaly in Electrodynamics By regularizing
... The origin of this problem lies in the singular nature of quantum fields. The types of classical fields that are useful in physics are generally smoothly varying continuous functions. If a classical function develops a singularity, it is usually isolated and physical quantities are not singular. Qua ...
... The origin of this problem lies in the singular nature of quantum fields. The types of classical fields that are useful in physics are generally smoothly varying continuous functions. If a classical function develops a singularity, it is usually isolated and physical quantities are not singular. Qua ...
arXiv:0809.0471 - Department of Physics and Astronomy
... theory that is known explicitly at small string coupling. But M-theory is inherently strongly coupled: one can think of it as the strong coupling limit of a 10-dimensional superstring theory. What to do? ...
... theory that is known explicitly at small string coupling. But M-theory is inherently strongly coupled: one can think of it as the strong coupling limit of a 10-dimensional superstring theory. What to do? ...
Particle Physics on Noncommutative Spaces
... • How does the Standard Model of particle physics which is a gauge theory based on the group SU(3)SU(2)U(1), emerge as a low energy action of a noncommutative gauge theory? • The main difficulty is to implement symmetries on NC spaces. • We need to understand how to implement SU(N) gauge symmetrie ...
... • How does the Standard Model of particle physics which is a gauge theory based on the group SU(3)SU(2)U(1), emerge as a low energy action of a noncommutative gauge theory? • The main difficulty is to implement symmetries on NC spaces. • We need to understand how to implement SU(N) gauge symmetrie ...
Physics 7802.01 Introduction
... Evidence for conservation of electric charge: Consider reaction e-ve which violates charge conservation but not lepton number or any other quantum number. If the above transition occurs in nature then we should see x-rays from atomic transitions. The absence of such x-rays leads to the limit: te > ...
... Evidence for conservation of electric charge: Consider reaction e-ve which violates charge conservation but not lepton number or any other quantum number. If the above transition occurs in nature then we should see x-rays from atomic transitions. The absence of such x-rays leads to the limit: te > ...
Slide 1
... Local Sp(2,R) 2T-physics seems to work generally! (X,P indistinguishable) is a fundamental principle that seems to agree with what we know about Nature, e.g. as embodied by the Standard Model, etc. The Standard Model in 4+2 dimensions, Gravity, provide new guidance: a) Dilaton driven electroweak s ...
... Local Sp(2,R) 2T-physics seems to work generally! (X,P indistinguishable) is a fundamental principle that seems to agree with what we know about Nature, e.g. as embodied by the Standard Model, etc. The Standard Model in 4+2 dimensions, Gravity, provide new guidance: a) Dilaton driven electroweak s ...
list of abstracts - Faculdade de Ciências
... constructed from $C^*$-algebras generated by local curvature tensors and vector fields. This algebraic quantum field theory is extracted from structures provided by an oriented smooth 4-manifold only hence possesses a diffeomorphism symmetry. In this way classical general relativity exactly in 4-dim ...
... constructed from $C^*$-algebras generated by local curvature tensors and vector fields. This algebraic quantum field theory is extracted from structures provided by an oriented smooth 4-manifold only hence possesses a diffeomorphism symmetry. In this way classical general relativity exactly in 4-dim ...
Workshop on Geometry and Physics 2017 Feb 25
... This workshop consists of two relatively independent parts. As one part, there is one mini-course, aiming to enlarge the scope of graduate students as well as advance undergraduate students. As the other part, there are a few conference talks, aiming to bring together researchers to communicate on r ...
... This workshop consists of two relatively independent parts. As one part, there is one mini-course, aiming to enlarge the scope of graduate students as well as advance undergraduate students. As the other part, there are a few conference talks, aiming to bring together researchers to communicate on r ...
The structure of perturbative quantum gauge theories
... Γ 7→ Uz (Γ) ∈ C The previous infinity becomes a pole at z = 0 of the Laurent series expansion in z. Subtraction: get rid of the whole pole part of the Laurent series expansion: this gives the renormalized amplitude Γ 7→ Rz (Γ) ∈ C This applies to any Feynman graph, and in particular to subgraphs of ...
... Γ 7→ Uz (Γ) ∈ C The previous infinity becomes a pole at z = 0 of the Laurent series expansion in z. Subtraction: get rid of the whole pole part of the Laurent series expansion: this gives the renormalized amplitude Γ 7→ Rz (Γ) ∈ C This applies to any Feynman graph, and in particular to subgraphs of ...