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gerald V

- 67

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There is a historic theory with a cosmological term arising naturally, that is the Born-Infeld theory describing the electromagnetic field. If this term was kept, the Born-Infeld Lagrangian would read (one minor term supressed)

##L = - b^2 \sqrt{1 + \frac{1}{2b^2} F_{\mu \nu} F^{\mu \nu}}##

So the vacuum action density is ##-b^2##, which is negative assumed that ##b## is real. I am aware that first there is no obvious relation to the results from quantum physics. Second this term has to be counterbalanced (as Born-Infeld did by simple subtraction), since for the approximate expansion of the square root to work, ##b^2## has to be large.

Question:

If this cosmological term was regarded as if it was the result from current quantum physics, would it have the correct sign for bosons?

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