• Corpus ID: 7247335

Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory

  title={Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory},
  author={Colin D. Froggatt and Holger Bech Nielsen},
A very general quantum eld theory, which is not even assumed to be Lorentz invariant, is studied in the limit of very low energy excitations. Fermion and Boson eld theories are considered in parallel. Remarkably, in both cases it is argued that, in the free and lowest energy approximation, a relativistic theory with just three space and one time dimension emerges for each particle type separately. In the case of Fermion elds it is in the form of the Weyl equation, while in the case of the… 

Derivation of Poincaré invariance from general quantum field theory

Starting from a very general quantum field theory we seek to derive Poincaré invariance in the limit of low energy excitations. We do not, of course, assume these symmetries at the outset, but rather

Theoretical topics in spacetime-symmetry violations

The Lorentz- and CPT-violating Chern-Simons extension of electrodynamics is considered. In the context of N=4 supergravity in four spacetime dimensions, it is argued that cosmological solutions can

Analogue quantum gravity phenomenology from a two-component Bose–Einstein condensate

We present an analogue-emergent spacetime that reproduces the salient features of the most common ansätze used for quantum gravity phenomenology. We do this by investigating a system of two-coupled

What do we know about Lorentz invariance?

  • J. Tasson
  • Physics
    Reports on progress in physics. Physical Society
  • 2014
This work reviews the key concepts associated with Lorentz and CPT symmetry, the structure of the SME framework, and some recent experimental and theoretical results.

Glimmers of a Pre-geometric Perspective

Spacetime measurements and gravitational experiments are made by using objects, matter fields or particles and their mutual relationships. As a consequence, any operationally meaningful assertion

Astrophysical Neutrinos in Testing Lorentz Symmetry

An overview of searches related to neutrinos of astronomical and astrophysical origin performed within the framework of the Standard-Model Extension is provided. For this effective field theory, key

Towards a Derivation of Space

This attempt to \derive" space is part of the Random Dynamics project [1]. The Random Dynamics philosophy is that what we observe at our low energy level can be interpreted as some Taylor tail of the

One-loop structure of the photon propagator in the standard model extension

We study radiative corrections on the photon propagator from the electroweak sector of the minimal Lorentz- and $CPT$-violating Standard Model Extension. We derive the most general Lorentz-violating

Fundamentality, Effectiveness, and Objectivity of Gauge Symmetries

ABSTRACT Much recent philosophy of physics has investigated the process of symmetry breaking. Here, I critically assess the alleged symmetry restoration at the fundamental scale. I draw attention to

Atomic and optical tests of Lorentz symmetry

This paper reports on the Fourth Meeting on Lorentz and CPT Symmetry, CPT '07, held in August 2007 in Bloomington, IN, USA. The focus is on recent tests of Lorentz symmetry using atomic and optical



On the Origin of Symmetries

We reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. This invariance could only be imposed in the sense that all non-invariant effects caused


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CPT and Lorentz Symmetry II

  • CPT and Lorentz Symmetry II
  • 1999

Proc. Roy. Soc. London A161

  • Proc. Roy. Soc. London A161
  • 1937


  • Roy. Soc. London A161
  • 1937

Phys. Rev. D55 Phys. Rev. J. Math. Phys

  • Phys. Rev. D55 Phys. Rev. J. Math. Phys
  • 1997