Open AccessJournal Article10.1007/BF01646660

A note on the decrease of truncated Wightman functions for large space-like separation of the arguments

- 01 Dec 1968

- Communications in Mathematical Physics

- Vol. 7, Iss: 4, pp 271-273

TL;DR: The truncated Wightman functions cannot decrease arbitrarily fast for large space-like separation of the arguments as discussed by the authors, and for certain configurations they can fall off at most exponentially, in the sense that the number of arguments can be arbitrarily fast.

Abstract: The truncated Wightman functions cannot decrease arbitrarily fast for large space-like separation of the arguments. For certain configurations they can fall off at most exponentially.

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1. What are the contributions mentioned in the paper "A note on the decrease of truncated wightman functions for large space-like separation of the arguments" ?

For instance, for a relativistic quantum field theory of a self-interacting neutral, scalar field A ( x ) H. ARAKI [ 2 ] ( compare the footnote in [ 5 ] ) proved the following theorem:. Here the authors want to point out that a lower bound on the decrease of the TVEV for similar configurations can be obtained as well.

References

Journal Article•10.1007/BF02747805

Asymptotic conditions in quantum field theories

G. F. Dell’Antonio, +1 more

- 01 Mar 1959

- Il Nuovo Cimento

TL;DR: In this paper, it is shown that it is possible to define asymptotic states in the ordinary field theory according to Haag's theorem, based on the integral representations of the generalized singular functions.

...read moreread less

Journal Article•10.1016/0003-4916(60)90135-4

On asymptotic behavior of vacuum expectation values at large space-like separation

Huzihiro Araki

- 01 Oct 1960

- Annals of Physics

TL;DR: In this paper, the asymptotic behavior of truncated vacuum expectation values at large space-like separation is studied under conventional assumptions of relativistic quantum field theory, and it is shown that the truncated expectation value at equal time tends to zero exponentially as the largest distance R of points tends to infinity with an exponent mR where m is the lowest mass and is assumed positive.

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A note on the decrease of truncated Wightman functions for large space-like separation of the arguments

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References

Asymptotic conditions in quantum field theories

On asymptotic behavior of vacuum expectation values at large space-like separation

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