The Weinberg-Witten Theorem, proved by Steven Weinberg and Edward Witten, is a result of relativistic quantum field theory stating that massless particles of spin greater than one half cannot carry a Lorentz-covariant current, and massless particles of spin greater than one cannot carry a Lorentz-covariant stress-energy tensor, whether the particle is elementary or composite. Because the graviton has spin two, the theorem is usually interpreted as ruling out any composite graviton arising within an ordinary relativistic quantum field theory.
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StatementMassless particles, whether composite or elementary, with spin greater than one half cannot carry a Lorentz-covariant current, and massless particles with spin greater than one cannot carry a Lorentz-covariant stress-energy tensor. 1 Classification
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Source Weinberg-Witten theorem, Wikipedia
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1. Weinberg-Witten theorem, Wikipedia
Lead section
massless particles (either composite or elementary) with spin j > 1/2 cannot carry a Lorentz-covariant current, while massless particles with spin j > 1 cannot carry a Lorentz-covariant stress-energy
References section
Weinberg, Steven; Witten, Edward (1980). Limits on massless particles. Physics Letters B.
In Branch: Mathematical Physics, Lead paragraph
The theorem is usually interpreted to mean that the graviton (j = 2) cannot be a composite particle in a relativistic quantum field theory.
Proved By: Edward Witten, Lead
In theoretical physics, the Weinberg-Witten (WW) theorem, proved by Steven Weinberg and Edward Witten, states that massless particles (either composite or elementary) with spin j > 1/2 cannot carry a
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