Statistical Effects, Thermal Quantum Field Theory > s.a. effective
quantum field theories [finite T]; particle
statistics;
statistical mechanics.
* Applications: Study of phase
transitions in the early universe, and hadronic matter at high energy density.
* Branches: Perturbative
methods in Euclidean approach (use generating functional for Green functions
with positive T),
perturbative methods in real time (thermofield dynamics), and lattice approximations
with Montecarlo methods (non-perturbative).
@ References: Hardman et al PLA(90);
Henning PRP(95);
Greiner & Müller
PRD(97)
[equilibrium and semiclassical dynamics]; Bros & Buchholz NPB(02)
[asymptotic
dynamics]; Khanna et al 09; > s.a. casimir effect.
Changing Variables / Field Redefinitions > s.a. Coleman-Mandula
Theorem;
CPT; path-integral
quantization.
* Idea: Leads to the
same physics (equivalence theorem, Chisholm theorem) if the origin in field
space is not changed, otherwise masses can change; An
appropriate
Lee-Yang term must be introduced in the lagrangian.
* Chisholm theorem: Given
the S-matrix elements for a field
,
the interpolating field is not unique; A point transformation
F(
),
with F(0) = 1, does not change the physics.
@ General references: Lee & Yang PR(62);
Salam & Strathdee PRD(70);
Honerkamp & Meetz
PRD(71);
Gerstein et al PRD(71).
@ Chisholm theorem: Chisholm NP(61); Kamefuchi
et al NP(61); Coleman et al PR(69);
Lam PRD(73);
Kallosh & Tyutin SJNP(73); Bergere & Lam PRD(76);
Bando et al PRP(88);
in Donoghue et al 92; Tyutin PAN(02)ht/00.
Different Backgrounds > s.a. curved-spacetime
effects; early-universe cosmology [including
quantum → classical].
@ External fields: Langmann mp/05-in
[pedagogical]; Gavrilov & Gitman PRL(08)-a0805 [maximum
electric field].
@ Non-smooth: Bordag & Vassilevich PRD(04)ht;
Fichera et al NPB(05)
[on d-dimensional defects in d+1].
@ Different topology: Bezerra & Rego-Monteiro PRD(04)ht [finite
box]; > s.a. boundaries in field theory.
@ Thermal gravitons: Arteaga et al PRD(04)
[scalar field theory in Minkowski].
Other Effects > s.a. quantum field
theory techniques [including
perturbation]; superselection.
* Quantum interest: Any
negative energy flux in a free quantum field must be preceded or followed by
a positive flux of greater magnitude; The greater
the surplus of positive energy, the further apart the positive and negative
fluxes are, and the maximum possible separation between the positive
and negative
energy decreases the larger the amount of negative energy.
@ Fluctuations: Cognola et al PRD(02)ht [via
-function];
Ford & Roman PRD(05)
[stress-energy fluctuations]; > s.a. energy-momentum.
@ Negative energies: Ford & Roman PRD(97)gq/96;
Kuo NCB(97)gq/96;
Fewster & Eveson
PRD(98)gq;
Helfer MPLA(98)gq, ht/98-in
[operational positivity]; Fewster & Teo
PRD(99)gq/98,
PRD(00)gq/99 [constraints];
Solomon gq/99 [Dirac-Maxwell];
Borde et al PRD(02)gq/01 [spatial
distributions]; Davies & Ottewill PRD(02)gq [det];
Graham
& Olum PRD(03)
[with background V]; Ford & Roman PRD(08)-a0705 [superposition
of entangled states], PRD(07)-a0706 [and
energy fluxes]; Solomon a0808 [massless
fermion with no lower bound]; Marsh a0809; Ford
a0911-in; > s.a. curved-spacetime
effects; QED.
@ Quantum interest: Ford & Roman PRD(99)gq;
Pretorius PRD(00)gq/99 [scalar];
Teo & Wong PRD(02)gq [2D];
Abreu & Visser PRD(09)-a0808 [3+1,
proof of one version].
@ Quantum inequalities: Ford et al PRD(98)gq/97 [and
singular energy densities], PRD(02)gq [4D,
non-existence]; Flanagan PRD(02)gq,
Fewster PRD(04)gq [2D];
Fewster & Hollands RVMP(05)mp/04 [2D];
Fewster
mp/05-in,
mp/05-in
[rev]; Fewster & Pfenning JMP(06)mp,
Fewster GRG(07)mp/06 [and
local covariance]; Hu et al PRD(06)gq [spin-3/2
field]; Fewster & Smith AHP(08)-gq/07 [in
curved spacetime]; > s.a. dirac fields, energy
conditions.
@ Macroscopic phenomena: Blasone et al 90; > s.a. Bose-Einstein
Condensation; topological
defects.
@ Other references: Wightman in(67), 71; García & Pérez-Rendón
CMP(69);
Klauder PRL(72)
[structure of operators]; Malin PRD(82)
[observer dependence]; Grosse 88; Moffat PLB(88);
Pérez-Mercader ht/93, ht/93 [irreversibility].
> Specific theories:
see dirac quantum field theory; quantum-gravity
phenomenology.
> Phenomena:
see Bosonization; decoherence; entanglement;
optics; particle
effects [creation].
Related Concepts > s.a. boundaries
in field theory; locality; measurement; mirrors; states
in quantum field theory [including non-equilibrium].
* Short-distance structure:
Look at the N-point
functions.
@ Short-distance structure: Mohrdieck JMP(02),
Bostelmann JMP(05)mp/04
[and phase space structure]; Bostelmann et al CMP(09)-a0711 [scaling
algebras].
> Other: see anomalies; Contraction; correlations; energy
conditions; theta
sectors; vacuum; Virtual
Particles.
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send feedback and suggestions to bombelli at olemiss.edu – modified 19
nov
2009