Why is $$\mathcal{CPT}$$ Fundamental?

  title={Why is \$\$\mathcal\{CPT\}\$\$ Fundamental?},
  author={O. W. Greenberg},
  journal={Foundations of Physics},
  • O. W. Greenberg
  • Published 26 September 2003
  • Mathematics
  • Foundations of Physics
Lüders and Pauli proved the $$\mathcal{CPT}$$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on “axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $$\mathcal{CPT}$$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the$$\mathcal{CPT… 

Neutrino electromagnetic interactions: A window to new physics

With the observation of neutrino masses and mixings, the study of their electromagnetic interactions has assumed greater relevance both as verification of the $\ensuremath{\nu}$ standard model, and

Quantum Gravity Phenomenology Induced in the Propagation of UHECR, a Kinematical Solution in Finsler and Generalized Finsler Spacetime

It is well-known that the universe is opaque to the propagation of Ultra-High-Energy Cosmic Rays (UHECRs) since these particles dissipate energy during their propagation interacting with the

Symmetry and Quantum Features in Optical Vortices

A photon-based perspective on these features enables regard to be given to the salient quantum operators, paying heed to quantum uncertainty limits of observables, and supports a persistence in features of significance for the material interactions of vortex beams.

The Dirac Sea, T and C Symmetry Breaking, and the Spinor Vacuum of the Universe

We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra) of Grassmann densities in the momentum space. We have proven the

Classical Hamiltonian Systems with balanced loss and gain

  • P. K. Ghosh
  • Physics
    Journal of Physics: Conference Series
  • 2021
Classical Hamiltonian systems with balanced loss and gain are considered in this review. A generic Hamiltonian formulation for systems with space-dependent balanced loss and gain is discussed. It is

CPT Theorem

Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity

In this work, making use of a specifically modified version of the SimProp simulation program, the radius of the proton opacity horizon (GZK sphere), and the attenuation length for the photopion production process are simulated and the modifications of these quantities introduced by the theory are studied.

Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics

The state of art for astroparticle physics, quantum field theory, quantum gravity, and neutrino beams are discussed, with some interesting new proposals, both from a theoretical and phenomenological point of view.

The role of temperature dependent string-inspired CPT violating backgrounds in leptogenesis and the chiral magnetic effect

The current work non-trivially modifies the framework of a previous phenomenological approach by the authors where the CPTV axial background was considered to be a constant (with no microscopic justification), and the constant background approximation is shown to capture the main phenomenological features of leptogenesis.



Quantum Field Theory in Terms of Vacuum Expectation Values

Vacuum expectation values of products of neutral scalar field operators are discussed. The properties of these distributions arising from Lorentz invariance, the absence of negative energy states and

Quantum field theory

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian

Local quantum physics

Introduction to axiomatic quantum field theory