Particles:
Effects |

**In General** > s.a. field theory; particle
models [relativistic quantum mechanics vs quantum field theory]; particle
types; quantum field theory.

* __Idea__: The notion of
particle requires that of a timelike Killing vector field; In Minkowski space
there is a natural choice, but in general relativity it
is ambiguous; Also, it is defined only when
there are no interactions; Only for small *λ*, high frequency,
one has an approximate notion; The problem is equivalent to that of defining
an appropriate Feynman propagator.

* __In 2D__: They can belong
to a 1D representation of the braid group (anyons), or other (superstrings,
...).

@ __General references__: Achinstein 91 [history-philosophy, I].

@ __Elementary particles__: Lev JPA(04)ht/02 [SO(1,4), only fermions, charged].

@ __Antiparticles__: Dastidar & Dastidar MPLA(99) [Feynman's backward *t* travel].

@ __Wave-particle duality__: Sánchez IJMPA(04)ht/03 [extended
to strings/black holes].

@ __Internal degrees of freedom__: Kim APPB(96)ht, cm/96-proc,
IJMPA(97)ht/96 [internal
symmetries], qp/96-proc
[and
wavelets].

**Particle Creation / Production by Electromagnetic Fields**

* __Schwinger effect__:
The quantum pair production
of charged particles in a strong electric field; > s.a. inflation [quantum perturbations].

* __Dynamically assisted Sauter-Schwinger effect__: The enhanced Schwinger effect in the superposition of a strong and slow electric field with a weaker and faster pulse.

@ __General references__: Gitman JPA(77);
Srinivasan & Padmanabhan gq/99;
Narozhny et al PLA(03)
[and accelerated observers]; Dunne & Schubert PRD(05)ht [worldline
instantons]; Kim & Page PRD(07)ht
[inhomogeneous fields]; Dietrich & Dunne JPA(07)
[and Gutzwiller trace formula]; Baier & Katkov PLA(10) [by a photon in an electromagnetic
field]; Schützhold a1004 [quantum-optics
perspective]; Dittrich IJMPA(14) [Schwinger's formula]; Mu et al a1501 [minimal length effects].

@ __Time-dependent fields__: Szpak JPA(08)ht/06;
Cooper & Nayak ht/06;
Kleinert et al PRD(08)-a0807 [spacetime-dependent
fields]; Mahajan AP(09);
Dumlu PRD(09)-a0901 [equivalence
of approaches]; Fedotov et al PRL(10)
[and laser power limitation]; Longhi PRA(10)-a1009; Fey & Schützhold PRD(12)-a1110 [dynamically assisted Sauter-Schwinger effect]; Adorno et al EPJC(16)-a1605 [by peak electric field]; Blinne a1701-PhD [pulsed rotating fields].

**Particle Creation / Production by Gravitational Fields** > s.a. black-hole
radiation; horizons;
quantum field theory effects in curved spacetime.

* __Remark__: The effect
is determined by the square of the Weyl tensor; This motivates a definition
of entropy (Penrose), but how to go from one to the other is not known.

@ __General references__: Schrödinger (39); DeWitt PR(53);
Parker PR(69);
Sexl & Urbantke APA(67), PR(69);
Zel'dovich & Pitaevski CMP(71);
Chitre & Hartle PRD(77);
Woodhouse PRL(76);
in Birrell & Davies 82; Gasperini PTP(90);
Arteaga PhD(07)-a0707;
Nikolić a0708 [reliability
of semiclassical description]; Pavlov G&C(08)-a0811 [spacetime
description]; Fucci & Avramidi a0911-proc;
Lin et al PRD(10)-a1001 [entanglement and entropy].

@ __In the early universe__: Hartle in(84);
Zlatev et al PRD(98)ap/97 [parametric
resonance]; Martin LNP(08)-a0704
[cosmological Schwinger effect]; Kaya IJMPD(09)-a0810 [fluctuations
and ensemble picture]; Parker & Navarro-Salas a1702 [history]; > s.a. fields in FLRW spacetimes.

@ __In non-trivial topology__: Kandrup & Mazur MPLA(89); > s.a. quantum
field theory in curved backgrounds.

@ __Related topics__: Wald CMP(77)
[gravitational back-reaction], GRG(78)
[effective stress-energy]; > s.a. dissipation; entropy.

**Particle Decay** > s.a. experiments
in quantum mechanics; hilbert space [unstable];
pilot-wave interpretation;
quantum effects.

* __Decay rate__: A non-exponential
rate has been predicted based on the rigged Hilbert space
formalism (Prigogine et al).

@ __References__: Müller PRD(97)ht [and
acceleration]; Wilkinson Nat(97)jun
+ pn(97)jun
[non-exponential]; Harshman AJP(03)oct
[mass uncertainty]; Epstein IJGMP(08) [in de Sitter space]; Cabbolet a1502-conf [re unobservability of short-lived particles].

**Other Effects** > s.a. causality; force;
gravitating matter; particle
statistics; QED phenomenology; radiation.

@ __Multiparticle effects__: Atiyah & Sutcliffe PRS(02)ht/01 [configuration
space and energy].

> __Particle motion__: see
gravitating
objects; newtonian orbits; scattering; test
bodies.

> __Related topics__: see Detectors; energy [self-energy]; horizons; localization; resonance.

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send feedback and suggestions to bombelli at olemiss.edu – modified 23
feb 2017