Beyond Standard Model Physics
... • Poincare sym. max’al extension to contain SUSY generators, Q ~ P . theoretical beauty • Motivations (apart from beauty): fermionic loop contributes the same as bosonic loop but with opposite sign natural loop cancellations! • Loop cancellation is promising for many purposes. ...
... • Poincare sym. max’al extension to contain SUSY generators, Q ~ P . theoretical beauty • Motivations (apart from beauty): fermionic loop contributes the same as bosonic loop but with opposite sign natural loop cancellations! • Loop cancellation is promising for many purposes. ...
Beyond Standard Model Physics
... • Poincare sym. max’al extension to contain SUSY generators, Q ~ P . theoretical beauty • Motivations (apart from beauty): fermionic loop contributes the same as bosonic loop but with opposite sign natural loop cancellations! • Loop cancellation is promising for many purposes. ...
... • Poincare sym. max’al extension to contain SUSY generators, Q ~ P . theoretical beauty • Motivations (apart from beauty): fermionic loop contributes the same as bosonic loop but with opposite sign natural loop cancellations! • Loop cancellation is promising for many purposes. ...
The Classical and Quantum Mechanics of Systems with Constraints
... manifest themselves in theories derived from general action principles. From this short list of examples, it should be clear that systems with constraints appear in a wide variety of contexts and physical situations. The fact that general relativity fits into this class is especially intriguing, sin ...
... manifest themselves in theories derived from general action principles. From this short list of examples, it should be clear that systems with constraints appear in a wide variety of contexts and physical situations. The fact that general relativity fits into this class is especially intriguing, sin ...
Time Reversal and Unitary Symmetries
... This is obviously not a canonical transformation since the Poisson brackets { pi , x j } = δi j are not left intact. The change of sign brought about for the Poisson brackets is often acknowledged by calling classical time reversal anticanonical. We should keep in mind that the angular momentum vect ...
... This is obviously not a canonical transformation since the Poisson brackets { pi , x j } = δi j are not left intact. The change of sign brought about for the Poisson brackets is often acknowledged by calling classical time reversal anticanonical. We should keep in mind that the angular momentum vect ...
The CPT Theorem
... ?). The literature contains a gap: there is no rigorous, general proof available of the CPT theorem within the framework of Lagrangian QFT. Driven by the platitude that both mathematical rigour and contact with real physics are highly desirable, this paper aims to fill that gap. We present a rigorou ...
... ?). The literature contains a gap: there is no rigorous, general proof available of the CPT theorem within the framework of Lagrangian QFT. Driven by the platitude that both mathematical rigour and contact with real physics are highly desirable, this paper aims to fill that gap. We present a rigorou ...
PPT
... electron and proved that the time evolution operator is different from the Hamiltonian exactly as we obtained phenomenologically. The nonrelativistic one is the Schroedinger or Pauli equation. ...
... electron and proved that the time evolution operator is different from the Hamiltonian exactly as we obtained phenomenologically. The nonrelativistic one is the Schroedinger or Pauli equation. ...
Quantization as a Kan extension
... underpinning the above result is general enough to produce similar ‘quantization formulas’ for discretized field theories as well (see the section ‘Examples’), yieldig similar interpretations of what quantization is supposed to be mathematically. We believe that our interpretation of the moral of qu ...
... underpinning the above result is general enough to produce similar ‘quantization formulas’ for discretized field theories as well (see the section ‘Examples’), yieldig similar interpretations of what quantization is supposed to be mathematically. We believe that our interpretation of the moral of qu ...
Dynamical and Hamiltonian formulation of General - Philsci
... Moreover, it is also the starting point for the canonical quantization program, which constitutes one main approach to the yet unsolved problem of Quantum Gravity. In this approach one tries to make essential use of the Hamiltonian structure of the classical theory in formulating the corresponding q ...
... Moreover, it is also the starting point for the canonical quantization program, which constitutes one main approach to the yet unsolved problem of Quantum Gravity. In this approach one tries to make essential use of the Hamiltonian structure of the classical theory in formulating the corresponding q ...
Seminar Quantum Field Theory - Institut für Theoretische Physik III
... Figure 2: QED diagrams which illustrate the difference between the SDD (middle column) and the actual divergent behavior (cutoff-dependence, right column): In the first diagram is D = 0 but the diagram is finite since there isn’t an integration to compute. In the third diagram the divergence is weak ...
... Figure 2: QED diagrams which illustrate the difference between the SDD (middle column) and the actual divergent behavior (cutoff-dependence, right column): In the first diagram is D = 0 but the diagram is finite since there isn’t an integration to compute. In the third diagram the divergence is weak ...
Fractionalization in an easy-axis Kagome antiferromagnet
... Typically single strength vortices condense, but one can also imagine insulating states which result from a condensation of composites made from N v vortices.12 Such insulators are necessarily fractionalized since they support deconfined 共but gapped兲 charge excitations with ‘‘boson charge’’ Q ⫽S z ⫽ ...
... Typically single strength vortices condense, but one can also imagine insulating states which result from a condensation of composites made from N v vortices.12 Such insulators are necessarily fractionalized since they support deconfined 共but gapped兲 charge excitations with ‘‘boson charge’’ Q ⫽S z ⫽ ...
A pseudo-mathematical pseudo-review on 4d N = 2
... a G-symmetric QFT Q. Then Mvac can be thought of as a functor from the category of QFTs to the category of Riemanninan manifolds. Another point is that the difficulty of QFTs is often associated to the difficulty of making sense of the concept of the path integrals, i.e. an infinite-dimensional inte ...
... a G-symmetric QFT Q. Then Mvac can be thought of as a functor from the category of QFTs to the category of Riemanninan manifolds. Another point is that the difficulty of QFTs is often associated to the difficulty of making sense of the concept of the path integrals, i.e. an infinite-dimensional inte ...
Non-Hermitian Hamiltonians of Lie algebraic type
... • Calculated conditions and appropriate metrics with respect to which a large class of non Hermitian Hamiltonians bilinear in su(1,1) generators can be considered Hermitian. • The same non Hermitian Hamiltonians could be diagonalized and it was shown, whithout metrics, that although being non Hermit ...
... • Calculated conditions and appropriate metrics with respect to which a large class of non Hermitian Hamiltonians bilinear in su(1,1) generators can be considered Hermitian. • The same non Hermitian Hamiltonians could be diagonalized and it was shown, whithout metrics, that although being non Hermit ...
Mathematical Research Letters 8, 331–345 (2001) VERTEX
... transformations leading to quantization of dynamical r-matrices which have not been quantized previously. Recall that the study of the dynamical quantum Yang-Baxter equation of Felder [F] leads one to a useful notion of a dynamical twist in a Hopf algebra (see [BBB, EV, ES2]). Namely, such a twist i ...
... transformations leading to quantization of dynamical r-matrices which have not been quantized previously. Recall that the study of the dynamical quantum Yang-Baxter equation of Felder [F] leads one to a useful notion of a dynamical twist in a Hopf algebra (see [BBB, EV, ES2]). Namely, such a twist i ...
Unsolved Questions in String Theory
... In view of the present status of superstring field theory, this idea was a bit too naive. But in any case, String fields, or (if any) other possible degrees of freedom for describing background independence, themselves should be regarded as a fundamental geometric entity of “string geometry”. Classi ...
... In view of the present status of superstring field theory, this idea was a bit too naive. But in any case, String fields, or (if any) other possible degrees of freedom for describing background independence, themselves should be regarded as a fundamental geometric entity of “string geometry”. Classi ...
Studies of effective theories beyond the Standard Model
... neutrino masses nor the mixing in the leptonic sector, which have been observed, can be described within this model. In fact, the model only describes a fraction of the known energy in the Universe. Thus, we know there must exist a theory beyond the SM. There is a plethora of possible candidates for ...
... neutrino masses nor the mixing in the leptonic sector, which have been observed, can be described within this model. In fact, the model only describes a fraction of the known energy in the Universe. Thus, we know there must exist a theory beyond the SM. There is a plethora of possible candidates for ...
Overview of Hamiltonian Systems
... system using only the sun and two planets. This has become famously known as the “three body problem”. In the mid-20th Century three Russian mathematicians found the solution, known today as the KAM theorem. The theorem is based on invariant tori and answers the question, what happens to the invari ...
... system using only the sun and two planets. This has become famously known as the “three body problem”. In the mid-20th Century three Russian mathematicians found the solution, known today as the KAM theorem. The theorem is based on invariant tori and answers the question, what happens to the invari ...
Lectures on String Theory - UCI Physics and Astronomy
... There exist many such quantum field theories and so there exist many string theories. Further, for some string theories the strings themselves arise from wrapped higher-dimensional objects and hence can have some internal structure. To whet our appetites and motivate our exploration of the subject, ...
... There exist many such quantum field theories and so there exist many string theories. Further, for some string theories the strings themselves arise from wrapped higher-dimensional objects and hence can have some internal structure. To whet our appetites and motivate our exploration of the subject, ...
Quantum connection and Poincare19 e-
... The present paper is aimed at analysing some aspects of the general relativistic classical and quantum mechanics on a curved spacetime with absolute time, in terms of recent formulations of a finite order Lagrangian bicomplex [Kru90, Kru95] and of a covariant approach to classical and quantum mechan ...
... The present paper is aimed at analysing some aspects of the general relativistic classical and quantum mechanics on a curved spacetime with absolute time, in terms of recent formulations of a finite order Lagrangian bicomplex [Kru90, Kru95] and of a covariant approach to classical and quantum mechan ...
Hyperfine Splitting in Non-Relativistic Bound States Marc E. Baker
... QCD ) where the strong interactions become nonperturbative, QCD perturbation theory can be applied for the analysis of states with low quantum numbers. This makes heavy quark-antiquark systems an ideal laboratory for determining fundamental parameters of QCD, such as the strong coupling constant αs ...
... QCD ) where the strong interactions become nonperturbative, QCD perturbation theory can be applied for the analysis of states with low quantum numbers. This makes heavy quark-antiquark systems an ideal laboratory for determining fundamental parameters of QCD, such as the strong coupling constant αs ...
Review on Nucleon Spin Structure
... Gauge potential can be separated into gauge invariant and pure gauge two parts. The pure gauge part should be subtracted from the operators of the individual momentum and angular momentum of quark and gluon to make them gauge invariant. The spin and orbital angular momentum of gluon or photon can be ...
... Gauge potential can be separated into gauge invariant and pure gauge two parts. The pure gauge part should be subtracted from the operators of the individual momentum and angular momentum of quark and gluon to make them gauge invariant. The spin and orbital angular momentum of gluon or photon can be ...
Band-gap structure and chiral discrete solitons in optical lattices with
... interaction strengths gn/J and different magnetic fluxes φ. For noninteracting systems, the analytical band-gap structures can be obtained by exactly diagonalizing the Hamiltonian matrix (7). When the magnetic flux φ increases, the lowest band gradually changes from a singlewell shape to a three-wel ...
... interaction strengths gn/J and different magnetic fluxes φ. For noninteracting systems, the analytical band-gap structures can be obtained by exactly diagonalizing the Hamiltonian matrix (7). When the magnetic flux φ increases, the lowest band gradually changes from a singlewell shape to a three-wel ...
Conformal geometry of the supercotangent and spinor
... of spinning particles (see e.g. [34] for the recovering of the Papapetrou equations [41]), and complete the classical setting. To link the latter with the quantum one, geometric quantization is perfectly suited, since its extension to supermanifolds is well-established [29, 50, 17]. As a rst step, ...
... of spinning particles (see e.g. [34] for the recovering of the Papapetrou equations [41]), and complete the classical setting. To link the latter with the quantum one, geometric quantization is perfectly suited, since its extension to supermanifolds is well-established [29, 50, 17]. As a rst step, ...