✎ Weinberg-Witten Theorem [The Physics Travel Guide]

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====== Weinberg-Witten Theorem ======

<tabbox Why is it interesting?> 
<blockquote>"The Weinberg–Witten theorem states that a massless particle of spin strictly greater than one cannot possess an energy-momentum tensor $T_{\mu \nu}$ which is both Lorentz covariant and gauge invariant. Of course, this no-go theorem does not preclude gravitational interactions. In the spin-two case, it implies that there cannot exist any gauge-invariant energy-momentum tensor for the graviton."<cite>https://arxiv.org/abs/1007.0435</cite></blockquote>
<tabbox Layman?>

<note tip>
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
</note>
  
<tabbox Student>

A good introduction to the theorem and its meaning can be found in "[[http://onlinelibrary.wiley.com/doi/10.1002/andp.200810305/epdf|The Weinberg-Witten theorem on massless particles: an essay]]" by Florian Loebbert
 
<tabbox Researcher> 
<blockquote>

Frequently occurring scientific expressions will be abbreviated: quantum
field theory (QFT). local quantum physics (LQP), point-like (pl), string-like
(sl), string-local quantum field theory (SLFT), power-counting bound (pcb),
spontaneous symmetry breaking (SSB), string theory (ST), the Becchi-RouetStora-Tyutin
gauge formalism (BRST).

[...]

This does not only lead to the sl replacement of the missing pl massless
potential but it also **defuses a No-Go theorem by Weinberg and Witten** claiming
that massless energy-momentum tensors do not exist for s ≥ 2 [37]. The correct
statement is that pl conserved massless E-M tensors do not exist; they have to
be replaced by sl E-M tensors which are different as densities but lead to the
same global charges (generators of the Poincare group).

<cite>https://arxiv.org/pdf/1612.00003.pdf</cite>

</blockquote>

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