43 citations · 486 across the 43 of their papers we have counts for
43 papers
Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators
Haru-Tada Sato
We propose a gauge-invariant formulation of magnetic translation (GMT) operators, eliminating the gauge dependence that conventional definitions suffer from due to specific gauge c…
Ensemble Bayesian Inference: Leveraging Small Language Models to Achieve LLM-level Accuracy in Profile Matching Tasks
Haru-Tada Sato, Fuka Matsuzaki, Jun-ichiro Takahashi
This study explores the potential of small language model(SLM) ensembles to achieve accuracy comparable to proprietary large language models (LLMs). We propose Ensemble Bayesian In…
Quantum Superspace and Bloch Electron Systems with Zeeman Effects: *-Bracket Formalism for Super Curtright-Zachos Algebras
Haru-Tada Sato
We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra (super Curtright-Zachos algebra), as realized in the GL(1,1) quantum superspace, for Bloch…
Curtright-Zachos Supersymmetric Deformations of the Virasoro algebra in Quantum Superspace and Bloch Electron Systems
Haru-Tada Sato
We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra, as realized in the GL(1,1) quantum superspace, for Bloch electron systems under Zeeman ef…
Exploring the Limits of Large Language Models: A Systematic Evaluation of Masked Text Processing Ability through MskQA and MskCal
Fuka Matsuzaki, Haru-Tada Sato
This paper sheds light on the limitations of Large Language Models (LLMs) by rigorously evaluating their ability to process masked text. We introduce two novel tasks: MskQA, measur…
Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
Haru-Tada Sato
We explore two variations of the Curtright-Zachos (CZ) deformation of the Virasoro algebra. Firstly, we introduce a scaled CZ algebra that inherits the scaling structure found in t…
Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
Naruhiko Aizawa, Haru-Tada Sato
We discuss the Curtright-Zachos (CZ) deformation of the Virasoro algebra and its extentions in terms of magnetic translation (MT) group in a discrete Bloch electron system, so-call…
One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
Youngjai Kiem, Yeonjung Kim, Cheol Ryou +1
We develop a method to compute the one-loop effective action of noncommutative U(1) gauge theory based on the bosonic worldline formalism, and derive compact expressions for N-poin…
Interacting Open Wilson Lines in Noncommutative Field Theories
Y. Kiem, S. Lee, S. -J. Rey +1
In noncommutative field theories, it was known that one-loop effective action describes propagation of non-interacting open Wilson lines, obeying the flying dipole's relation. We s…
Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
Y. Kiem, S. -S. Kim, S. -J. Rey +1
We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative -theory for both planar (g=0, h=3) and nonplanar (g=1,…
Anatomy of One-Loop Effective Action in Noncommutative Scalar Field Theories
Youngjai Kiem, Soo-Jong Rey, Haru-Tada Sato +1
One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effec…
Open Wilson Lines and Generalized Star Product in Noncommutative Scalar Field Theories
Y. Kiem, S. -J. Rey, H. -T. Sato +1
Open Wilson line operators and generalized star product have been studied extensively in noncommutative gauge theories. We show that they also show up in noncommutative scalar fiel…
Open string derivation of winding states in thermal noncommutative field theories
Youngjai Kiem, Dong Hyun Park, Haru-Tada Sato
The `winding state' behavior appears in the two-loop nonplanar contribution to the partition function in thermal noncommutative field theories. We derive this feature directly from…
Stretched strings and worldsheets with a handle
Youngjai Kiem, Dong Hyun Park, Haru-Tada Sato
In the presence of the constant background NS two-form gauge field, we construct the worldsheet partition functions, bulk propagators and boundary propagators for the worldsheets w…
Deformed fields and Moyal construction of deformed super Virasoro algebra
R. Kemmoku, H. T. Sato
Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikhian. Starting from abstract realizations in terms of the FFZ type generators, various connections…
FFZ realization of the deformed super Virasoro algebra - Chaichian-Presnajder type
Ahmed Jellal, Haru-Tada Sato
The q-deformed super Virasoro algebra proposed by Chaichian and Presnajder is examined. Presented is the realizations by the FFZ algebra (the magnetic translation algebra) defined…
Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
Haru-Tada Sato, Michael G. Schmidt, Claus Zahlten
Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence str…
World-line Green functions with momentum and source conservations
Haru-Tada Sato
Based on the generating functional method with an external source function, a useful constraint on the source function is proposed for analyzing the one- and two-loop world-line Gr…
World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
Haru-Tada Sato, Michael G. Schmidt
Based on the world-line formalism with a sewing method, we derive the Yang-Mills effective action in a form useful to generate the Bern-Kosower-type master formulae for gluon scatt…
Integral representations of thermodynamic 1PI Green functions in the world-line formalism
Haru-Tada Sato
The issue discussed is a thermodynamic version of the Bern-Kosower master amplitude formula, which contains all necessary one-loop Feynman diagrams. It is demonstrated how the mast…
Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop Theory
Haru-Tada Sato, Michael G. Schmidt
Counting the contribution rate of a world-line formula to Feynman diagrams in theory, we explain the idea how to determine precise combinatorics of Bern-Kosower-like amplitud…
Deformation of Super Virasoro Algebra in Noncommutative Quantum Superspace
Haru-Tada Sato
We present a twisted commutator deformation for super Virasoro algebras based on covariant noncommutative superspace.
Multiloop Amplitudes from Bosonic String Theory
Kaj Roland, Haru-Tada Sato
We show how the multiloop amplitudes of theory (in the worldline formulation of Schmidt and Schubert) are recovered from the N-tachyon -loop amplitude in bosonic strin…
Note on thermodynamic fermion loop under constant magnetic field
H-T. Sato
The one-loop effective potential of a thermodynamic fermion loop under constant magnetic field is studied. As expected, it can be interpreted literally as a discretized sum of $(D-…