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We show that in Reggeon field theory the intercept of the interacting Pomeron must be less than or equal to 1. The intercept is equal to 1 only when the bare intercept has a critical value. When the bare intercept exceeds the critical value a Pomeron field operator acquires a vacuum expectation value, and a discrete symmetry of the Lagrangian is spontaneously broken. It turns out that symmetry breaking is unacceptable even though α(0)<1. Therefore, Reggeon field theory appears to be valid only when the bare intercept does not exceed the critical value.
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Abarbanel et al. (1976) studied this question.
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