Stress-Energy Tensor and Ultraviolet Behaviour in Massive Integrable Quantum Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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32 pages LATEX file (Three figures not included in the text) ISAS/EP/93/68

Scientific paper

The short distance behaviour of massive integrable quantum field theories is analyzed in terms of the form factor approach. We show that the on-shell dynamics is compatible with different definitions of the stress-energy tensor $T_{\mu\nu}(x)$ of the theory. In terms of form factors, this is equivalent to having a possible non-zero matrix element $F_1$ of the trace of $T_{\mu\nu}$ on one-particle state. Each choice of $F_1$ induces a different scaling behaviour of the massive theory in the ultraviolet limit.

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