arXiv subjects

Jojiro Totsuka-Yoshinaka

Publications and source records attributed to Jojiro Totsuka-Yoshinaka.

5 recordsLinked to original sources

arXiv2026

BSFT-like action from cohomomorphism

By performing a field redefinition via a cohomomorphism on the Maurer-Cartan action of the $A_\infty$ algebra, we construct an action that reproduces the characteristic structure of boundary string field theory (BSFT), which we refer to as the BSFT-like action. We show that the form and several properties of this BSFT-like action closely resemble those of BSFT. Our results suggest that this approach provides a systematic framework to derive the BSFT action from the OSFT based on $A_\infty$ algebras.

hep-th↗

arXiv2025

The LSZ reduction formula from homotopy algebras

When we describe string field theory or quantum field theory in terms of homotopy algebras, on-shell scattering amplitudes at the tree level are obtained by the formula based on the minimal model. While this formula can be extended to loop amplitudes and it generates the correct set of Feynman diagrams, the evaluation of each Feynman diagram may fail to be well defined because of mass renormalization. Furthermore, this formula does not explain why we use Feynman propagators in loops. In this paper we first present the LSZ reduction formula in terms of quantum $A_\infty$ algebras, which provides a well-defined prescription for loop amplitudes. We then present a formula for connected correlation functions based on quantum $A_\infty$ algebras, and we use it to discuss the relation between the LSZ reduction formula and the extension of the minimal model to loop amplitudes.

hep-th↗

arXiv2025

A consistent light-cone-gauge superstring field theory

Extending a recent development in the bosonic string field theory, we construct a map from the Witten-type gauge-invariant superstring field theory based on an $A_{\infty}$ structure to a light-cone-gauge superstring field theory via two intermediate theories, which we call the Kaku-type and Kugo-Zwiebach-type superstring field theories. We find that a naive extension only gives us an inconsistent light-cone-gauge theory that suffers from the well-known problem caused by divergence due to collisions of local operators. However, we also find that this difficulty may be resolved by considering the stubbed theory and propose it as a consistent light-cone-gauge superstring field theory. The result possibly gives a proof of the unitarity of the Witten-type superstring field theory.

hep-th↗

arXiv2024

Noether's theorem and Ward-Takahashi identities from homotopy algebras

We derive the new identity in homotopy algebras which directly corresponds to the Schwinger-Dyson equations in quantum field theory. As an application, we derive the Ward-Takahashi identities. We demonstrate that the Ward-Takahashi identities are reproduced in several examples. In general, our formula contains divergence. We mediate this problem by introducing stubs known in the context of string field theory. With the regularization, we can calculate the anomaly such as axial U(1) anomaly in vector-like U(1) gauge theory.

hep-th↗

arXiv2024

Neural network representation of quantum systems

It has been proposed that random wide neural networks near Gaussian process are quantum field theories around Gaussian fixed points. In this paper, we provide a novel map with which a wide class of quantum mechanical systems can be cast into the form of a neural network with a statistical summation over network parameters. Our simple idea is to use the universal approximation theorem of neural networks to generate arbitrary paths in the Feynman's path integral. The map can be applied to interacting quantum systems / field theories, even away from the Gaussian limit. Our findings bring machine learning closer to the quantum world.

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