Computer algebra tools for Feynman integrals and related multi-sums

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  • معلومة اضافية
    • Publication Date:
      2018
    • Collection:
      Computer Science
      Mathematics
      High Energy Physics - Phenomenology
      High Energy Physics - Theory
      Mathematical Physics
    • Abstract:
      In perturbative calculations, e.g., in the setting of Quantum Chromodynamics (QCD) one aims at the evaluation of Feynman integrals. Here one is often faced with the problem to simplify multiple nested integrals or sums to expressions in terms of indefinite nested integrals or sums. Furthermore, one seeks for solutions of coupled systems of linear differential equations, that can be represented in terms of indefinite nested sums (or integrals). In this article we elaborate the main tools and the corresponding packages, that we have developed and intensively used within the last 10 years in the course of our QCD-calculations.
    • Accession Number:
      edsarx.1809.06168
  • Citations
    • ABNT:
      BLÜMLEIN, J.; SCHNEIDER, C. Computer algebra tools for Feynman integrals and related multi-sums. [s. l.], 2018. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428. Acesso em: 18 jan. 2020.
    • AMA:
      Blümlein J, Schneider C. Computer algebra tools for Feynman integrals and related multi-sums. 2018. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428. Accessed January 18, 2020.
    • APA:
      Blümlein, J., & Schneider, C. (2018). Computer algebra tools for Feynman integrals and related multi-sums. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428
    • Chicago/Turabian: Author-Date:
      Blümlein, Johannes, and Carsten Schneider. 2018. “Computer Algebra Tools for Feynman Integrals and Related Multi-Sums.” http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428.
    • Harvard:
      Blümlein, J. and Schneider, C. (2018) ‘Computer algebra tools for Feynman integrals and related multi-sums’. Available at: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428 (Accessed: 18 January 2020).
    • Harvard: Australian:
      Blümlein, J & Schneider, C 2018, ‘Computer algebra tools for Feynman integrals and related multi-sums’, viewed 18 January 2020, .
    • MLA:
      Blümlein, Johannes, and Carsten Schneider. Computer Algebra Tools for Feynman Integrals and Related Multi-Sums. 2018. EBSCOhost, search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428.
    • Chicago/Turabian: Humanities:
      Blümlein, Johannes, and Carsten Schneider. “Computer Algebra Tools for Feynman Integrals and Related Multi-Sums,” 2018. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428.
    • Vancouver/ICMJE:
      Blümlein J, Schneider C. Computer algebra tools for Feynman integrals and related multi-sums. 2018 [cited 2020 Jan 18]; Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1809.06168&custid=s8280428