A Perspective on Constructive Quantum Field Theory
Mar, 2012Citations per year
Abstract: (arXiv)
An overview of the accomplishments of constructive quantum field theory is provided.Note:
- 59 pages / This is an expanded version of an article commissioned for UNESCO's Encyclopedia of Life Support Systems (EOLSS)
- field theory: constructive
- field theory: model
- phi**n model: 4
- invariance: gauge
- expansion: cluster
- algebra: von Neumann
- model: Yukawa
- field theory: Euclidean
- axiomatic field theory
- scattering
References(208)
Figures(0)
- [1]
- •
- Commun.Math.Phys. 86 (1982) 1
- DOI:
- [2]The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time
- S. Albeverio,
- R. Hoegh-Krohn
- J.Funct.Anal. 16 39
- [3]
- ,
- ,
- •
- Commun.Math.Phys. 70 (1979) 187
- DOI:
- [4]
- ,
- ,
- •
- Commun.Math.Phys. 184 (1997) 509-531
- e-Print:•
- [5]
- •
- Commun.Math.Phys. 216 (2001) 491-513
- e-Print:•
- [6]
- •
- J.Geom.Phys. 62 (2012) 330-343
- e-Print:•
- [7]On the algebra of all local observables
- H. Araki
- Prog.Theor.Phys. 32 844
- [8]
- •
- J.Math.Phys. 5 (2016) 1-6
- e-Print:
- [9]Mathematical Theory of Quantum Fields (Oxford University Press, Oxford) 1999
- H. Araki
- [10]Representation theory of analytic holonomy C∗ algebras, in Knots and Quantum Gravity, (Oxford University Press, Oxford) 1994, pp. 21-61
- A. Ashtekar,
- J. Lewandowski J. Baez
- [11]
- ,
- ,
- ,
- ,
- •
- J.Math.Phys. 38 (1997) 5453-5482
- e-Print:•
- DOI:
- [12]Introduction to Algebraic and Constructive Quantum Field Theory (Princeton University Press, Princeton) 1992
- J.C. Baez,
- I.E. Segal,
- Z. Zhou
- [13]A Low temperature expansion for the pseudoscalar Yukawa model of quantum field in two space-time dimensions, Ann. Inst. Henri Poincaré, : 36 (1982) 271
- T. Balaban,
- K. Gawedzki
- [14]
- •
- Commun.Math.Phys. 88 (1983) 411,
- Commun. Math. Phys. 88 ( 1983) 411-445
- DOI:
- [15]
- ,
- ,
- •
- Commun.Math.Phys. 114 (1988) 257
- DOI:
- [16]
- •
- Commun.Math.Phys. 122 (1989) 355-392
- DOI:
- [17]Causal Nets of Operator Algebras (Akademie Verlag, Berlin) 1992
- H. Baumgärtel,
- M. Wollenberg
- [18]
- [19]
- ,
- ,
- •
- Commun.Math.Phys. 273 (2007) 67-118
- e-Print:•
- [20]
- ,
- ,
- •
- Commun.Math.Phys. 285 (2009) 713-762
- e-Print:•
- [21]
- •
- J.Math.Phys. 16 (1975) 985-1007
- DOI:
- [22]
- •
- Nuovo Cim. 24 (1962) 2, 214-236
- DOI:
- [23]From quantum fields to local von Neumann algebras, Rev.Math.Phys., Special Issue, : 15 (1992) 47
- H.-J. Borchers,
- J. Yngvason
- [24]
- •
- Commun.Math.Phys. 219 (2001) 125-140
- e-Print:•
- [25]Stochastic quantization of field theory in finite and infinite volume
- V.S. Borkar,
- R.T. Chari,
- S.K. Mitter
- J.Funct.Anal. 81 184