메뉴 건너뛰기




Volumn 2, Issue 1, 1999, Pages 27-49

The Segal-Bargmann transform for two-dimensional Euclidean quantum Yang-Mills

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0348230468     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025799000035     Document Type: Article
Times cited : (5)

References (18)
  • 1
    • 0039918036 scopus 로고    scopus 로고
    • A mathematical construction of the non-Abelian Chern-Simons functional integral
    • S. Albeverio and A. Sengupta, A mathematical construction of the non-Abelian Chern-Simons functional integral, Commun. Math. Phys. 186 (1997) 563-579.
    • (1997) Commun. Math. Phys. , vol.186 , pp. 563-579
    • Albeverio, S.1    Sengupta, A.2
  • 2
    • 0002171899 scopus 로고
    • The energy representation of Sobolev-Lie groups
    • S. Albeverio and R. Høegh-Krohn, The energy representation of Sobolev-Lie groups, Compositio Math. 36 (1978) 37-51.
    • (1978) Compositio Math. , vol.36 , pp. 37-51
    • Albeverio, S.1    Høegh-Krohn, R.2
  • 4
    • 84980077803 scopus 로고
    • On a Hilbert space of analytic functions and an associated integral transform Part I
    • V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform Part I, Comm. Pure Appl. Math. 14 (1961) 187-214.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 5
    • 85034558312 scopus 로고    scopus 로고
    • The Segal-Bargmann transform and Yang-Mills theory
    • to appear
    • B. K. Driver and B. C. Hall, The Segal-Bargmann transform and Yang-Mills theory, Commun. Math. Phys. to appear.
    • Commun. Math. Phys.
    • Driver, B.K.1    Hall, B.C.2
  • 6
    • 0001572330 scopus 로고
    • Uniqueness of ground states for Schrödinger operators over loop groups
    • L. Gross, Uniqueness of ground states for Schrödinger operators over loop groups, J. Funct. Anal. 112 (1993) 373-441.
    • (1993) J. Funct. Anal. , vol.112 , pp. 373-441
    • Gross, L.1
  • 7
    • 0001976103 scopus 로고    scopus 로고
    • Hall's transform and the Segal-Bargmann map
    • eds. M. Fukushima, N. Ikeda, H. Kunita, and S. Watanabe Springer-Verlag
    • L. Gross and M. Malliavin, Hall's transform and the Segal-Bargmann map, in Itô's Stochastic Calculus and Probability Theory, eds. M. Fukushima, N. Ikeda, H. Kunita, and S. Watanabe (Springer-Verlag, 1996), pp. 73-116.
    • (1996) Itô's Stochastic Calculus and Probability Theory , pp. 73-116
    • Gross, L.1    Malliavin, M.2
  • 8
    • 0000374308 scopus 로고
    • The Segal-Bargmann "coherent state" transform for compact Lie groups
    • B. C. Hall, The Segal-Bargmann "coherent state" transform for compact Lie groups, J. Funct. Anal. 122 (1994) 103-151.
    • (1994) J. Funct. Anal. , vol.122 , pp. 103-151
    • Hall, B.C.1
  • 9
    • 0031546438 scopus 로고    scopus 로고
    • Phase space bounds for quantum mechanics on a compact Lie group
    • B. C. Hall, Phase space bounds for quantum mechanics on a compact Lie group, Commun. Math. Phys. 184 (1997) 233-250.
    • (1997) Commun. Math. Phys. , vol.184 , pp. 233-250
    • Hall, B.C.1
  • 10
    • 0001498713 scopus 로고    scopus 로고
    • The Segal-Bargmann transform for path-groups
    • B. C. Hall and A. N. Sengupta, The Segal-Bargmann transform for path-groups, J. Funct. Anal. 152 (1998) 220-254.
    • (1998) J. Funct. Anal. , vol.152 , pp. 220-254
    • Hall, B.C.1    Sengupta, A.N.2
  • 11
    • 0003299201 scopus 로고
    • Stochastic differentials
    • K. Itô, Stochastic differentials, Appl. Math. Opt. 1 (1974) 374-381.
    • (1974) Appl. Math. Opt. , vol.1 , pp. 374-381
    • Itô, K.1
  • 15
    • 0003272857 scopus 로고
    • Mathematical problems in relativistic physics
    • Procs. of the Summer Seminar, Boulder, Colorado, 1960, ed. M. Kac AMS
    • I. Segal, Mathematical problems in relativistic physics, in Procs. of the Summer Seminar, Boulder, Colorado, 1960, Vol. II, ed. M. Kac Lectures in Applied Mathematics (AMS, 1963).
    • (1963) Lectures in Applied Mathematics , vol.2
    • Segal, I.1
  • 16
    • 0031094133 scopus 로고    scopus 로고
    • Memoirs of the American Mathematical Society 126 Number 600
    • A. Sengupta, Gauge Theory on Compact Surfaces, Memoirs of the American Mathematical Society 126 Number 600 (1997).
    • (1997) Gauge Theory on Compact Surfaces
    • Sengupta, A.1
  • 17
    • 81855179017 scopus 로고
    • The geometry of the orbit space for non-Abelian gauge theories
    • I. M. Singer, The geometry of the orbit space for non-Abelian gauge theories, Phys. Script. 24 (1981) 817-820.
    • (1981) Phys. Script. , vol.24 , pp. 817-820
    • Singer, I.M.1
  • 18
    • 0032558063 scopus 로고    scopus 로고
    • Constrained quantisation and θ-angles, II
    • K. K. Wren, Constrained quantisation and θ-angles, II, Nucl. Phys. B521 (1998) 471-502.
    • (1998) Nucl. Phys. , vol.B521 , pp. 471-502
    • Wren, K.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.