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arXiv · 1611.06373

$ε$-Expansion in Critical $ϕ^3$-Theory on Real Projective Space from Conformal Field Theory

Chika Hasegawa·Yu Nakayama
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Abstract

We use a compatibility between the conformal symmetry and the equations of motion to solve the one-point function in the critical $ϕ^3$-theory (a.k.a the critical Lee-Yang model) on the $d = 6 - ε$ dimensional real projective space to the first non-trivial order in the $ε$-expansion. It reproduces the conventional perturbation theory and agrees with the numerical conformal bootstrap result.

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Chika Hasegawa, Yu Nakayama. 2016-11-30. $ε$-Expansion in Critical $ϕ^3$-Theory on Real Projective Space from Conformal Field Theory. https://doi.org/10.1142/s0217732317500456

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