QCD
- Quantum Chromodynamics| QCD
- Quantum Chromodynamics |
Theory > s.a. Bag Model;
lattice gauge theory; QCD
phenomenology; standard
model [including Cabibbo
angle].
* Idea and particle content:
A gauge theory of strong interactions with gauge group color SU(2); The interaction
is mediated by 8 (massless) gluons,
components of an su(3)-valued connection form, while quarks live in an associated
bundle on which SU(3) acts; Both quarks and gluons carry color
charge.
* Motivation: (1) Deep
inelastic lepton-hadron scattering indicates structure in hadrons at scales
less than 10–16 cm, and half-integer
spin constituents;
(2) Low energy spectroscopy (> see Eightfold
Way)
indicates multiplet structure and representations of flavor SU(3) (broken);
(3) Excitations of
low-lying hadrons and Regge Trajectories;
(4) Charmonium and upsilon spectroscopy (the "hydrogen atoms" of
elementary particle physics).
Techniques and Theoretical Issues > s.a. gauge
choice; phenomenology [confinement].
* Renormalization: The
theory is renormalizable in 4D, superrenormalizable in lower dimensions.
* Asymptotic freedom: The
QCD renormalization prediction that the strong coupling constant decreases
with increasing energy or momentum transfer, and vanishes at asymptotically
high
energies.
* Vacuum: The QCD vacuum
acts as a superconductor; & Rosenzweig.
@ Perturbative: Magradze IJMPA(00)
[analytic approach]; Steinhauser
PRP(02)
[multi-loop]; Van Acoleyen & Verschelde PRD(02)
[and Landau pole]; Conrady ht/06, ht/06, ht/06 [gluons
and monopoles from lattice field theory]; Shirkov & Solovtsov TMP(07)
[analytic]; Muta 08.
@ Non-perturbative: Chakrabarti ht/04-PhD
[ligh-front QCD]; Yamagishi
& Zahed PRP(04)ht/97 [non-uniqueness]; > s.a.
lattice gauge theory.
@ Vacuum: Sachs PRL(94)
[consistency]; van Baal NPPS(98)ht/97;
Shuryak 04; Horváth NPB(05),
hl/06 [structure];
Cho PLB(06)
[knot topology]; Cornwall ht/07 [infrared
structure]; Reinhardt a0803 [dielectric function]; > s.a. instantons.
@ Other
states: Heinzl et al a0806 [ground state].
@ Topological features: 't Hooft ht/98-ln; 't Hooft & Bruckmann ht/00-ln
[rev, including confinement]; Bruckmann a0706-ln.
@ At finite temperature: Gross, Pisarski & Yaffe RMP(81)
[and instantons].
@ Renormalization: Wilson PRD(71);
Kadanoff RMP(77);
Peng PLB(06)
[coupling constant]; Morris & Rosten JPA(06)ht [gauge-invariant];
Andrasi & Taylor a0704 [Hamiltonian, Coulomb gauge].
@ Running coupling constant:
Shirkov & Solovtsov
PRL(97) [analytic model]; Gaddah ht/02 [and
observables]; Fritzsch MPLA(06) [t-dependence of QCD scale].
@ Asymptotic freedom: Wilczek ht/96;
Gross NPPS(99)ht/98;
't Hooft NPPS(99)ht/98;
Seiler ht/03 [case
against]; Wilczek hp/05-ln;
Bethke PPNP(07)he/06 [experimental
tests, rev]; Grozin a0803 [history
and interpretation].
@ 1/N expansion, large N limit: 't Hooft NPB(74);
Witten PT(80)jul;
Das
RMP(87);
Veneziano ed; 't Hooft ht/02-in, ht/04-in,
Makeenko ht/04-in
[rev].
@ Related topics: Ho ht/95,
Lunev JMP(96)ht/95 [geometrical];
Belitsky et al ht/04-in
[integrability]; Magpantay ht/04 [stochastic
background].
References > s.a. gauge theories
and yang-mills [canonical]; GUTs [including p decay];
history;
standard model; string
phenomenology.
@ II: Glashow SA(75)oct; Georgi PT(88)apr; Wilczek PT(00)aug;
Aitchison & Hey 04.
@ III: Greiner & Schaefer 95; Smilga 01;
Dissertori et al 03 [theory and phenomenology, r PT(04)aug];
Narison 03; Grozin 07.
@ Texts: Kokkedee 69; Close 79; Yndurain 83 [including phenomenology];
Nambu 85.
@ Reviews: Lipkin PRP(73);
Altarelli PRP(82);
Close PS(82);
Wilczek ARNPS(82),
AHP(03)phy/02;
Shifman ed-01; Fleming IJMPA(05);
Shifman IJMPA(06)ht-in;
Marchesini IJMPA(07)
[esp for LHC]; Greenberg a0805-in [color charge].
@ Lower-dimensional: Bassetto ht/98-in
[1+1]; Rajeev & Turgut CMP(98)
[geometrical quantization]; in Nair ht/98-in
[2+1]; Olesen NPB(06)ht [2D,
tunneling].
@ Loop space: Polyakov PLB(79), NPB(80), 87; Antonov IJMPA(97).
@ Related topics: Shankar PRL(84)
[solvable analog]; Cline SA(88)aug [4th family]; Brodsky et al PRP(98)
[on the light cone]; Wilczek NPA(00)hp/99-in
[high density, rev]; Hands CP(01)
[phase diagram]; Kharzeev et al PLB(02)
[curved spacetime]; Nardulli
RNC(02) [very high density]; Nussinov & Lampert PRP(02)
[inequalities]; Di Giacomo et al PRP(02)
[field correlators]; Sanchez-Monroy & Quimbay ht/06 [classical
version and equations of motion]; Cho et al MPLA(07)
[restricted, BRST-Dirac quantization].
Variations & Alternatives: Preparata.
@ Holographic dual: de Teramond & Brodsky PRL(05)ht [hadronic
spectrum]; Gursoy & Kiritsis a0707,
et al a0707 [5D].
@ Other variations: Walker a0706 [extension
to SU(N)].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jul 2008