Couplings of the Vacuum Trajectory

Abarbanel, H.; Gribov, V.N.; Kancheli, O.V.

Couplings of the Vacuum Trajectory

H. Abarbanel
(
- San Diego State U.
)
,
V.N. Gribov
(
- Ioffe Phys. Tech. Inst.
)
,
O.V. Kancheli
(
- Tbilisi, Inst. Phys.
)

Aug, 1972

19 pages

Report number:

NAL-THY-76-AUG.-1972,
FERMILAB-PUB-72-076-T

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Abstract:

We discuss in a unified and straightforward manner the various requirements for the vanishing of the couplings of a vacuum pole with

\alpha_{\nu}

(0) = 1 and factorizable residues. We show how the proof of these results goes through even in the presence of J-plane branch cuts which may collide with the pole at J = 1, if the residue at the pole remains factorized. Special attention is devoted to the question of the two particlevacuum pole coupling which sets the scale of total cross sections. We indicate how the argument that this may also vanish can be incorrect.

References(10)

Figures(0)

[1]

Additional pubnote: Sov.Phys.JETP,9,1148

I. Verdiev
,
O.V. Kanchelli
,
S.G. Matinyan
,
A.M. Popova
,
K.A. Ter-Efartiroysan

- Sov.Phys.JETP 3 (1963) 341

[1]

O.V. Kanchelli

- Yad.Fiz. 1 (1968) 1119

[1]

Regge poles and perturbation theory

- Phys.Lett. 2 (1962) 305-305
•
DOI:
- 10.1016/0031-9163(62)90118-X

[2]

v Yad. viZ. g, 1002 (Sov. Journal Nut. Phys. 8, 583 (1969).)

N. Gribov
,
A.A. Migdal

[3]

Small dimensionless parameter to characterize multiple-pomeranchon phenomena

- Phys.Rev.Lett. 26 (1971) 937-940
•
DOI:
- 10.1103/PhysRevLett.26.937

[4]

and 0. V. Kanchelli unpublished

V.N. Gribov

[5]

11. B. Green, and A. Zee NAL-THY preprint, April

H.D.I. Abarbanel
,
S.D. Ellis

[6]

S.-H. we, G. Veneziano and J. E, Young, MTT preprhnt ~~~-264, March

C.E. Jones
,
F.E. Low

[7]

MIT preprint ~~~-280, May

R.C. Rrower
,
J.H. Weis

[8]

and 0. V. Kanchelli to be published. -14-

V.N. Gribov