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I'm interested in (typically topological) QFTs arising from Lagrangians which are pure constraint, ie. of the form

f(ψ) λ,

where λ is a Lagrange multiplier field not appearing in f(ψ). Perturbatively, the partition function merely counts the solutions of f(ψ)=0. What about nonperturbatively? I imagine there might be situations where exponentially suppressed tunneling phenomena affect the partition function. I am imagining something like the kinks for the particle on a space with a Morse potential. How can I figure out if this is the case?

What about boundary conditions for these theories?

Has anyone considered these?

Thanks.

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# QFTs which are pure constraint

Can you offer guidance or do you also need help?

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