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SUMMARY:PT and CPT Symmetry as a Dynamics
DTSTART;VALUE=DATE-TIME:20181129T155500Z
DTEND;VALUE=DATE-TIME:20181129T162000Z
DTSTAMP;VALUE=DATE-TIME:20200810T113855Z
UID:indico-contribution-3165242@indico.cern.ch
DESCRIPTION:Speakers: Philip Mannheim (University of Connecticut)\nInteres
t in discrete symmetries in particle physics is concentrated primarily in
determining the degree to which they may or may not be obeyed by nature. H
owever\, with the advent of the non-Hermitian\, antilinear PT-symmetry pro
gram of Bender and collaborators it has become apparent that quantum theor
y is richer than the standard Dirac Hermitian approach\, to thereby increa
se the number of options available to quantum theory. Moreover\, antilinea
r symmetry can be used as a dynamics that constrains what is allowed in ph
ysics. While interest has focused on PT itself\, here we show that the fun
damental antilinear symmetry is CPT. Specifically we show that if one impo
ses only two requirements\, namely the time independence of inner product
s and invariance under the complex Lorentz group\, it follows that the Ham
iltonian must be CPT invariant. Since no Hermiticity requirement is impose
d the CPT theorem is thus extended to non-Hermitian theories. We present s
ome examples of theories that are not Hermitian but are CPT invariant. Sin
ce charge conjugation plays no role in non-relativistic physics where one
is below the threshold for particle production\, CPT then defaults to PT\,
to thus put the PT-symmetry program on a quite secure theoretical foundat
ion.\nReferences: P. D. Mannheim\, Extension of the CPT Theorem to non-He
rmitian Hamiltonians and unstable states\, Phys. Lett. B 753\, 288 (2016)
. (arXiv:1512.03736 [quant-ph]).\nP. D. Mannheim\, Antilinearity rather th
an Hermiticity as a guiding principle for quantum theory\, J. Phys. A 51\
, 315302 (2018). (arXiv:1512.04915 [hep-th]).\n\nhttps://indico.cern.ch/ev
ent/732911/contributions/3165242/
LOCATION:Johannessaal
URL:https://indico.cern.ch/event/732911/contributions/3165242/
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