強結合系における重力・曲率効果の分野横断研究

• 研究課題/領域番号: 17F17763
• 研究種目: 特別研究員奨励費
• 配分区分: 補助金
• 応募区分: 外国
• 研究分野: 素粒子・原子核・宇宙線・宇宙物理(理論)
• 研究機関: 慶應義塾大学
• 研究代表者: フラキ アントニノ 慶應義塾大学, 商学部(日吉), 准教授 (20444474)
• 研究分担者: VITAGLIANO VINCENZO 慶應義塾大学, 商学部, 外国人特別研究員
• 研究期間 (年度): 2017-11-10 – 2020-03-31
• 研究課題ステータス: 完了 (2019年度)
• 配分額: 2,200千円 (直接経費: 2,200千円); 2019年度: 600千円 (直接経費: 600千円); 2018年度: 1,100千円 (直接経費: 1,100千円); 2017年度: 500千円 (直接経費: 500千円)
• キーワード: symmetry breaking / quantum vacuum / Casimir effect / quantum fields / geometry / topology / interacting fields / curved space / topological defects / Curved space / Symmetry breaking / Quantum fields

研究実績の概要

Research carried out during the last fiscal year has focused on two topics: one regarded the deformation of the quantum vacuum in nonlinear sigma models at finite density. For these theories we have shown that the ground state, usually believed to be homogeneous, it becomes inhomogeneous above a critical density. We have further shown that at high density, the ground state becomes homogeneous as for small density. This behavior indicates a sharp similarity between nonlinear sigma models and their fermion cousins, the Gross-Neveu models which manifest a similar behavior. A paper about this has been submitted to the journal of high energy physics for publication and is currently under revision, and a second paper is preparation. The second research line that we have conducted has focused on analyzing the implication of the Mermin-Wagner theorem for the Casimir effect. With this work we have shown that the Casimir effect manifests anomalous features. Furthermore we have generalized certain consideration regarding the mass gap for nonlinear sigma models to high dimensionality, settling a recently debated topic. A paper about is currently in preparation.

現在までの達成度 (段落)

令和元年度が最終年度であるため、記入しない。

今後の研究の推進方策

令和元年度が最終年度であるため、記入しない。

研究成果

• [雑誌論文] Ground state modulations in the CP(N－1) model (2019)
  • 著者名/発表者名: Antonino Flachi, Guglielmo Fucci, Muneto Nitta, Satoshi Takada, and Ryosuke Yoshii
  • 雑誌名: Physical Review D 巻: 100(8) 号: 8 ページ: 0850061-0850068
  • DOI: 10.1103/physrevd.100.085006
  • 査読あり / オープンアクセス / 国際共著
• [雑誌論文] Symmetry breaking and lattice kirigami: finite temperature effects (2019)
  • 著者名/発表者名: Antonino Flachi and Vincenzo Vitagliano
  • 雑誌名: Physical Review D 巻: 99 (12) 号: 12 ページ: 1250101-1250109
  • DOI: 10.1103/physrevd.99.125010
  • 査読あり / オープンアクセス / 国際共著
• [雑誌論文] Cosmic strings, deformed lattices and spontaneous symmetry breaking (2019)
  • 著者名/発表者名: Antonino Flachi and Vincenzo Vitagliano
  • 雑誌名: Journal of Physics (2019) no.1, 012030 巻: C. Ser. 1275 号: 1 ページ: 0120301-0120305
  • DOI: 10.1088/1742-6596/1275/1/012030
  • オープンアクセス / 国際共著
• [雑誌論文] Black holes, gravitational waves and fundamental physics: a roadmap (2019)
  • 著者名/発表者名: Vincenzo Vitagliano, Leor Barack, Vitor Cardoso, Samaya Nissanke, Diego Blas, Masha Chernyakova, Piotr Chrusciel, Monica Colpi, Valeria Ferrari, Daniele Gaggero, Jonathan Gair, Juan Garcia-Bellido, S. F. Hassan, Lavinia Heisenberg, Martin Hendry, Ik Siong Heng, Carlos Herdeiro, Tanja Hinderer, Assaf Horesh, et al.
  • 雑誌名: Classical and Quantum Gravity 巻: 36 号: 14 ページ: 1-178
  • DOI: 10.1088/1361-6382/ab0587
  • 査読あり / 国際共著
• [雑誌論文] Symmetry Breaking and Lattice Kirigami (2018)
  • 著者名/発表者名: E. Castro, A. Flachi (1st author), P. Ribeiro, V. Vitagliano
  • 雑誌名: Physical Review Letters 巻: 121 号: 22 ページ: 2216011-2216016
  • DOI: 10.1103/physrevlett.121.221601
  • 査読あり / オープンアクセス / 国際共著
• [雑誌論文] SYMMETRY BREAKING AND LATTICE KIRIGAMI (2018)
  • 著者名/発表者名: E. CASTRO, A. FLACHI, P. RIBEIRO, V. VITAGLIANO
  • 雑誌名: Physical Review Letters (submitted) - arXiv: 1803.09495 巻: 00 ページ: 1-5
  • 査読あり / 国際共著
• [雑誌論文] COSMIC STRINGS, DEFORMED LATTICES AND SPONTANEOUS SYMMETRY BREAKING (2018)
  • 著者名/発表者名: A. FLACHI AND V. VITAGLIANO
  • 雑誌名: submitted to the Gravity Research Foundation 2018 巻: 00 ページ: 1-4
  • 査読あり / 国際共著
• [学会発表] Effective action and phase scan of the CP(N) model (2019)
  • 著者名/発表者名: Antonino Flachi
  • 学会等名: JPS fall meeting Sept 2019
• [学会発表] Introductory remarks (2019)
  • 著者名/発表者名: Antonino Flachi
  • 学会等名: Avenues of quantum field theory in curved space
• [学会発表] Cosmic strings, deformed lattices and spontaneous symmetry breaking (2018)
  • 著者名/発表者名: Vincenzo Vitagliano
  • 学会等名: DICE - Spacetime - Matter - Quantum Mechanics
• [学会発表] Symmetry Breaking and Lattice Kirigami (2018)
  • 著者名/発表者名: Vincenzo Vitagliano
  • 学会等名: Spanish-Portuguese Relativity Meeting - EREP
• [学会発表] Symmetry Breaking and Lattice Kirigami (2018)
  • 著者名/発表者名: Vincenzo Vitagliano
  • 学会等名: Avenues of QFT in Curved Spacetime
• [学会発表] Interacting QFT in topologically deformed manifolds (2018)
  • 著者名/発表者名: Antonino Flachi
  • 学会等名: Marcel Grossmann Meeting (MG15)
• [学会発表] Toying with Symmetry Breaking in Curved Space (2018)
  • 著者名/発表者名: Antonino Flachi
  • 学会等名: Japanese General Relativity and Gravity
• [学会発表] Curvature effects on strongly coupled systems (2018)
  • 著者名/発表者名: V. VITAGLIANO
  • 学会等名: DEPARTMENT OF PHYSICS, TRENTO UNIVERSITY
  • 招待講演
• [学会発表] Covariantly Quantum Field Theory (2017)
  • 著者名/発表者名: V. VITAGLIANO
  • 学会等名: JGRG 2017 HIROSHIMA UNIVERSITY
  • 国際学会