Kira—A Feynman integral reduction program
| Main Author: | Ballantyne, John |
|---|---|
| Other Authors: | Maierhöfer, P., Usovitsch, J., Uwer, P. |
| Format: | Dataset |
| Terbitan: |
Mendeley
, 2018
|
| Subjects: | |
| Online Access: |
https:/data.mendeley.com/datasets/v3cmsnfrnn |
| ctrlnum |
0.17632-v3cmsnfrnn.1 |
|---|---|
| fullrecord |
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<dc><creator>Ballantyne, John</creator><title>Kira—A Feynman integral reduction program</title><publisher>Mendeley</publisher><description>In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loop integrals appearing in quantum field theoretic calculations to a set of master integrals. We extend existing approaches by using an additional algorithm based on modular arithmetic to remove linearly dependent equations from the system of equations arising from integration-by-parts and Lorentz identities. Furthermore, the algebraic manipulations required in the back substitution are optimized. We describe in detail the implementation as well as the usage of the program. In addition, we show benchmarks for concrete examples and compare the performance to Reduze 2 and FIRE 5. In our benchmarks we find that Kira is highly competitive with these existing tools.</description><subject>Computational Physics</subject><contributor>Maierhöfer, P.</contributor><contributor>Usovitsch, J.</contributor><contributor>Uwer, P.</contributor><type>Other:Dataset</type><identifier>10.17632/v3cmsnfrnn.1</identifier><rights>GNU Public License Version 3</rights><rights>http://www.gnu.org/licenses/gpl-3.0.en.html</rights><relation>https:/data.mendeley.com/datasets/v3cmsnfrnn</relation><date>2018-06-05T10:10:39Z</date><recordID>0.17632-v3cmsnfrnn.1</recordID></dc>
|
| format |
Other:Dataset Other |
| author |
Ballantyne, John |
| author2 |
Maierhöfer, P. Usovitsch, J. Uwer, P. |
| title |
Kira—A Feynman integral reduction program |
| publisher |
Mendeley |
| publishDate |
2018 |
| topic |
Computational Physics |
| url |
https:/data.mendeley.com/datasets/v3cmsnfrnn |
| contents |
In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loop integrals appearing in quantum field theoretic calculations to a set of master integrals. We extend existing approaches by using an additional algorithm based on modular arithmetic to remove linearly dependent equations from the system of equations arising from integration-by-parts and Lorentz identities. Furthermore, the algebraic manipulations required in the back substitution are optimized. We describe in detail the implementation as well as the usage of the program. In addition, we show benchmarks for concrete examples and compare the performance to Reduze 2 and FIRE 5. In our benchmarks we find that Kira is highly competitive with these existing tools. |
| id |
IOS7969.0.17632-v3cmsnfrnn.1 |
| institution |
Universitas Islam Indragiri |
| affiliation |
onesearch.perpusnas.go.id |
| institution_id |
804 |
| institution_type |
library:university library |
| library |
Teknologi Pangan UNISI |
| library_id |
2816 |
| collection |
Artikel mulono |
| repository_id |
7969 |
| city |
INDRAGIRI HILIR |
| province |
RIAU |
| shared_to_ipusnas_str |
1 |
| repoId |
IOS7969 |
| first_indexed |
2020-04-08T08:17:08Z |
| last_indexed |
2020-04-08T08:17:08Z |
| recordtype |
dc |
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1686587417681723392 |
| score |
17.538404 |