Some rigorous analyticity properties of the four-point function in momentum space

Bros, J.; Epstein, H.; Glaser, Vladimir Jurko

doi:10.1007/BF02733596

Some rigorous analyticity properties of the four-point function in momentum space

1964

38 pages

Published in:

Nuovo Cim. 31 (1964) 1265-1302

DOI:

10.1007/BF02733596

Report number:

CERN-TH-358

View in:

pdf

reference search98 citations

Citations per year

Abstract:

Geometrical methods of analytic completion are used to enlarge the primitive domain of analyticity of the four-point function inp-space. The results imply, in particular, analyticity of the scattering amplitude in two variables, on the mass shell, near all physical points, as well as analyticity of partial-wave amplitudes ins near the physical points of the right-hand side cut.

References(25)

Figures(0)

[1]

On the formulation of quantized field theories

- Nuovo Cim. 1 (1955) 205-225
•
DOI:
- 10.1007/BF02731765

[1]

On the formulation of quantized field theories. II

- Nuovo Cim. 6 (1957) 319-333
•
DOI:
- 10.1007/BF02832508

[1]

Field operators and retarded functions

V. Glaser
(
- Boskovic Inst., Zagreb
)
,
H. Lehmann
(
- Hamburg U.
)
,
W. Zimmermann
(
- Gottingen, Max Planck Inst.
)

- Nuovo Cim. 6 (1957) 5, 1122-1128
•
DOI:
- 10.1007/BF02747395

[2]

andD. V. Shirkov :Introduction to the Theory of Quantized Fields (New York,)

N.N. Boboliubov

[2]

N andM. K. Polivanov :Voprossy teorii dispersionnykh sootnoshenii (Moscow,)

N. Bogoliubov
,
B.V. Medvedev

[3]

See, for instance,A :Recent Achievements in Axiomatic Field Theory, inTheoretical Physics (Vienna,), where other references are given

S. Wightman

[4]

andD. V. Shirkov loc. cit. in ref. (2)

N.N. Bogoliubov

[4]

Proof of Dispersion Relations in Quantized Field Theories

- Phys.Rev. 109 (1958) 2178-2190
•
DOI:
- 10.1103/PhysRev.109.2178

[4]

Connection between local commutativity and regularity of Wightman functions

F.J. Dyson
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 110 (1958) 579-581,
•
DOI:
- 10.1103/PhysRev.110.579

[5]

:

H. Epstein

- J.Math.Phys. 1 (1960) 524

[6]

: 347

O. Steinmann

- Helv.Phys.Acta 33 (1960) 257

[7]

:

D. Ruelle

- Nuovo Cim. 19 (1961) 356

[8]

:

H. Araki

- J.Math.Phys. 2 (1961) 163

[8]

Suppl. Prog. Theor. Phys.,18

[9]

andN. Burgoyne:

H. Araki

- Nuovo Cim. 18 (1960) 342

[10]

Analytic properties of scattering amplitudes as functions of momentum transfer

H. Lehmann
(
- Princeton, Inst. Advanced Study
)

- Nuovo Cim. 10 (1958) 4, 579-589
•
DOI:
- 10.1007/bf02859794

[11]

:

R.F. Streater

- Proc.Roy.Soc.Lond.A 256 (1960) 39

[12]

:Séminaire Lelong , No.8 (Paris,)

J. Bros

[13]

andV. Glaser:Enveloppe d’Holomorphie de l’Union de deux Polycercles, mimeographed report

J. Bros

[14]

andR. Stora:

J. Bros
,
A. Messiah

- J.Math.Phys. 2 (1961) 639

[15]

Integral representations of causal commutators

F.J. Dyson
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 110 (1958) 1460-1464,
•
DOI:
- 10.1103/PhysRev.110.1460

[16]

:Thesis, Schrift. Math. Inst. Univ. Münster, No.5

H. Bremermann

[17]

andA. S. Wightman :Mat. Fys. Med Kon. Dan. Vid. Selskab,31, no. 5

D. Hall

[18]

See, for instance, the contributions ofM andR. Omnès inRelations de Dispersion et Particules Élémentaires (Paris,), where historical reviews are given

L. Goldberger

[19]

:Rend. S.I.F., Course XXIX , to be published

M. Froissart