Renormalizability in noncommutative field theories

Adrian Tanasa

Description

Renormalizability in (noncommutative) field theories ADRIAN TANASA˘ LIPN in collaboration with: A. de Goursac, R. Gura˘u, T. Krajewski, D. Kreimer, J. Magnen, V. Rivasseau, F. Vignes-Tourneret, P. Vitale, J.-C. Wallet, Z. Wang Villetaneuse, 23rd of November 2010 ADRIAN TANASA˘ Renormalizability in (noncommutative) field theories

• particle


• field


• quadratic part - propagation


• introduction - qft


• qft


• ?? elementary


• elementary particle


• qft - quantum description

Sujets

• Particle
• Elementary particle

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 36
• Langue: English

Extrait

Renormalizability

in (noncommutative) field
theories

˘
ADRIAN TANASA

LIPN

in collaboration with:
A.deGoursac,R.Gur˘au,T.Krajewski,D.Kreimer,
J. Magnen, V. Rivasseau, F. Vignes-Tourneret, P. Vitale, J.-C. Wallet, Z. Wang

Villetaneuse, 23rd of November 2010

˘
ADRIAN TANASA

Renormalizability in (noncommutative) field theories

Plan

Introduction - quantum field theory (QFT)
QFT and Feynman graphs
Renormalizability in QFT
Connes-Kreimer approach for renormalizability in QFT
Noncommutative QFT (NCQFT) and renormalizability
Connes-Kreimer approach for NCQFT
Perspectives

˘
ADRIAN TANASA

Renormalizability in (noncommutative) field theories

Introduction - QFT

QFT - quantum
compatible with

description of particles and
Einstein’s special relativity

interactions,

֒→elementary particle physics (high energy physics)
(Standard Model of Elementary Particle Physics)

greatest experimental success

QFT formalismapplies also to:
statistical mechanics, condensed matteretc.

“QFT has
important

remained throughout the years one of the most
tools in understanding the microscopic world.”
C. Itzykson and J.-B. Zuber, “QFT”

˘
ADRIAN TANASA

Renormalizability in (noncommutative) field theories

Scalar field theory and Feynman graphs

4
Φ :R→K-a scalar field
4
R- the 4−dimensional space(time), Euclidean metric
the action(functional in the field)

 

Z42
X
1∂1λ
4 22 4
 
S[Φ(x)] =d xΦ(x) +mΦ (x) +Φ (x)
2∂xµ2 4!
µ=1
m- the mass of the particle,
λ- the coupling constant

˘
ADRIAN TANASA

Renormalizability in (noncommutative) field theories