Quantum Field Theory Phenomenology

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]; > s.a. casimir effect.

Changing Variables / Field Redefinitions > s.a. Coleman-Mandula; 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 [including quantum → classical].
@ External fields: Langmann mp/05-in [pedagogical].
@ 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 a0705 [superposition of entangled states], a0706 [and energy fluxes]; > s.a. in curved spacetime.
@ Quantum interest: Ford & Roman PRD(99)gq; Pretorius PRD(00)gq/99 [scalar]; Teo & Wong PRD(02)gq [2D].
@ 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 gq/07 [in curved spacetime]; > s.a. dirac fields, energy conditions.
@ 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; particle effects [creation]; topological defects.

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-pt functions.
@ Short-distance structure: Mohrdieck JMP(02), Bostelmann JMP(05)mp/04 [and phase space structure].
> Other: see anomalies; Contraction; correlations; energy conditions; theta sectors; vacuum; Virtual Particles.

Main page – Abbreviations – Journals – Comments – Other sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified 14 jul 2008