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Index and overlap construction for staggered fermions.

หน่วยงาน Nanyang Technological University, Singapore

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ชื่อเรื่อง : Index and overlap construction for staggered fermions.
นักวิจัย : Adams, David H.
คำค้น : DRNTU::Science::Physics::Nuclear and particle physics.
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2553
อ้างอิง : Adams, D. H. (2010). Index and overlap construction for staggered fermions. The XXVIII international symposium on lattice field theory , 1824-8039(electronic) , http://hdl.handle.net/10220/6935 , http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=105 , 158622
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : The XXVIII international symposium on lattice field theory
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

Staggered fermions had long been perceived as disadvantaged compared to Wilson fermions regarding the index theorem connection between (would-be) zero-modes and gauge field topology. For Wilson fermions, the would-be zero-modes can be identified as eigenmodes with low-lying real eigenvalues; these can be assigned chirality ±1 according to the sign of y¯ g5y, thereby determining an integer-valued index which coincides with the topological charge of the background lattice gauge field in accordance with the index theorem when the gauge field is not too rough [1, 2, 3]. It coincides with the index obtained from the exact chiral zero-modes of the overlap Dirac operator [4]. In contrast, for staggered fermions, no way to identify the would-be zero-modes was known. They appeared to be mixed in with the other low-lying modes (all having purely imaginary eigenvalues) [1, 5] and only separating out close to the continuum limit [6]. It seemed that, away from the continuum limit, the best one could have was a field-theoretic definition of the staggered fermion index [1]. The latter had the disadvantages of being non-integer, requiring a renormalization depending on the whole ensemble of lattice gauge fields, and being significantly less capable than the Wilson fermion index of maintaining the index theorem in rougher backgrounds

บรรณานุกรม :
Adams, David H. . (2553). Index and overlap construction for staggered fermions..
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Adams, David H. . 2553. "Index and overlap construction for staggered fermions.".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Adams, David H. . "Index and overlap construction for staggered fermions.."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2553. Print.
Adams, David H. . Index and overlap construction for staggered fermions.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2553.