Dirac-Bergmann Procedure Having Regard to Interaction for Light-Front Yukawa Model

• URL: http://arxiv.org/abs/2003.11395v1
• Date: Tue, 24 Mar 2020 13:50:10 GMT
• Title: Dirac-Bergmann Procedure Having Regard to Interaction for Light-Front Yukawa Model
• Authors: Jan \.Zochowski
• Abstract summary: We make use of a simple matrix equation leading to solution of the set task. Main problem was to calculate the inverse matrix to the array composed of the constraints for enabled interaction. Proposed device comes down to the usage of certain, rather elementary matrix series.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work we applied the Dirac-Bergmann procedure to establish the Dirac brackets, which have regard to interaction for the light-front Yukawa model in D=1+3 dimensions. We made use of a simple matrix equation leading to solution of the set task, wherein the main problem was to calculate the inverse matrix to the array composed of the constraints for enabled interaction. Proposed device comes down to the usage of certain, rather elementary matrix series. Obtained result - Dirac brackets including interaction for the Yukawa model - embraces the interacting contributions with first and second powers of the fermionic - scalar coupling constant. It is interesting from the physical point of view for discussion on the structure and the properties of the (anti-) commutators of the interacting theories on the light-front hyper-surface after quantization. We compared obtained results to the computations coming from modified method of the quantization, inferred from the Heisenberg equations. The open problem is whether the inverse matrix to this one, generated by the constraints, gives the complete and exact or only approximate solution of the studied problem.

Related papers

• Application of the Variational R-matrix Method for the Dirac Equation to the Be Atom [0.0]
  This paper presents an implementation of the non-iterative eigenchannel R-matrix method for the Dirac equation. It includes a brief introduction, implementation details, and results for the photoionization cross-section of the beryllium atom.
  arXiv  Detail & Related papers  (2024-08-18T02:02:31Z)
• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian [55.2480439325792]
  We rigorously derive a leading correction in the weak-field approximation to the known relativistic Foldy-Wouthuysen Hamiltonian. For Dirac particles, the relativistic wave equation of the second order is obtained with the correction similar to that to the Foldy-Wouthuysen Hamiltonian.
  arXiv  Detail & Related papers  (2024-08-03T12:53:41Z)
• Cavity QED materials: Comparison and validation of two linear response theories at arbitrary light-matter coupling strengths [41.94295877935867]
  We develop a linear response theory for materials collectively coupled to a cavity that is valid in all regimes of light-matter coupling. We compare two different approaches to obtain thermal Green functions. We provide a detailed application of the theory to the Quantum Hall effect and to a collection of magnetic models.
  arXiv  Detail & Related papers  (2024-06-17T18:00:07Z)
• Spiral flow of quantum quartic oscillator with energy cutoff [0.0]
  The cutoff dependence of the corrected matrices is found to be described by a spiral motion of a three-dimensional vector. This foundational combination of a limit-cycle and a floating fixed-point behaviors warrants further study.
  arXiv  Detail & Related papers  (2024-04-26T14:34:05Z)
• Variational Equations-of-States for Interacting Quantum Hamiltonians [0.0]
  We present variational equations of state (VES) for pure states of an interacting quantum Hamiltonian. VES can be expressed in terms of the variation of the density operators or static correlation functions. We present three nontrivial applications of the VES.
  arXiv  Detail & Related papers  (2023-07-03T07:51:15Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Bootstrapping the gap in quantum spin systems [0.7106986689736826]
  We use the equations of motion to develop an analogue of the conformal block expansion for matrix elements. The method can be applied to any quantum mechanical system with a local Hamiltonian.
  arXiv  Detail & Related papers  (2022-11-07T19:07:29Z)
• An Accurate Pentadiagonal Matrix Solution for the Time-Dependent Schr\"{o}dinger Equation [2.480301925841752]
  We invoke the highly accurate five-point stencil to discretize the wave function onto an Implicit-Explicit pentadiagonal Crank-Nicolson scheme. It is demonstrated that the resultant solutions are significantly more accurate than the standard ones.
  arXiv  Detail & Related papers  (2022-05-26T16:16:56Z)
• Semi-Supervised Subspace Clustering via Tensor Low-Rank Representation [64.49871502193477]
  We propose a novel semi-supervised subspace clustering method, which is able to simultaneously augment the initial supervisory information and construct a discriminative affinity matrix. Comprehensive experimental results on six commonly-used benchmark datasets demonstrate the superiority of our method over state-of-the-art methods.
  arXiv  Detail & Related papers  (2022-05-21T01:47:17Z)
• Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction [77.34726150561087]
  We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
  arXiv  Detail & Related papers  (2021-08-01T02:36:23Z)
• Dissipative flow equations [62.997667081978825]
  We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We first test our dissipative flow equations on a generic matrix and on a physical problem with a driven-dissipative single fermionic mode.
  arXiv  Detail & Related papers  (2020-07-23T14:47:17Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.