Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory
We discuss dispersion representations for the triangle diagram <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> <mo>(</mo> <msup> <mi>q</mi> <mn>2</mn> </msup> <mo>,</mo> &...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Particles |
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| Online Access: | https://www.mdpi.com/2571-712X/3/1/9 |
| _version_ | 1818252407295967232 |
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| author | Dmitri Melikhov |
| author_facet | Dmitri Melikhov |
| author_sort | Dmitri Melikhov |
| collection | DOAJ |
| description | We discuss dispersion representations for the triangle diagram <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> <mo>(</mo> <msup> <mi>q</mi> <mn>2</mn> </msup> <mo>,</mo> <msubsup> <mi>p</mi> <mn>1</mn> <mn>2</mn> </msubsup> <mo>,</mo> <msubsup> <mi>p</mi> <mn>2</mn> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>, the single dispersion representation in <inline-formula> <math display="inline"> <semantics> <msup> <mi>q</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> and the double dispersion representation in <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>p</mi> <mn>1</mn> <mn>2</mn> </msubsup> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>p</mi> <mn>2</mn> <mn>2</mn> </msubsup> </semantics> </math> </inline-formula>, with special emphasis on the appearance of the anomalous singularities and the anomalous cuts in these representations. |
| first_indexed | 2024-12-12T16:23:41Z |
| format | Article |
| id | doaj.art-2b7fa5e0184948b08d4127247c6c096b |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-12-12T16:23:41Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-2b7fa5e0184948b08d4127247c6c096b2022-12-22T00:18:55ZengMDPI AGParticles2571-712X2020-02-01319911310.3390/particles3010009particles3010009Analytic Properties of Triangle Feynman Diagrams in Quantum Field TheoryDmitri Melikhov0D. V. Skobeltsyn Institute of Nuclear Physics, M. V. Lomonosov Moscow State University, 119991 Moscow, RussiaWe discuss dispersion representations for the triangle diagram <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> <mo>(</mo> <msup> <mi>q</mi> <mn>2</mn> </msup> <mo>,</mo> <msubsup> <mi>p</mi> <mn>1</mn> <mn>2</mn> </msubsup> <mo>,</mo> <msubsup> <mi>p</mi> <mn>2</mn> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> </semantics> </math> </inline-formula>, the single dispersion representation in <inline-formula> <math display="inline"> <semantics> <msup> <mi>q</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> and the double dispersion representation in <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>p</mi> <mn>1</mn> <mn>2</mn> </msubsup> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>p</mi> <mn>2</mn> <mn>2</mn> </msubsup> </semantics> </math> </inline-formula>, with special emphasis on the appearance of the anomalous singularities and the anomalous cuts in these representations.https://www.mdpi.com/2571-712X/3/1/9dispersion representationsanomalous singularitiesquantum field theory |
| spellingShingle | Dmitri Melikhov Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory Particles dispersion representations anomalous singularities quantum field theory |
| title | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory |
| title_full | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory |
| title_fullStr | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory |
| title_full_unstemmed | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory |
| title_short | Analytic Properties of Triangle Feynman Diagrams in Quantum Field Theory |
| title_sort | analytic properties of triangle feynman diagrams in quantum field theory |
| topic | dispersion representations anomalous singularities quantum field theory |
| url | https://www.mdpi.com/2571-712X/3/1/9 |
| work_keys_str_mv | AT dmitrimelikhov analyticpropertiesoftrianglefeynmandiagramsinquantumfieldtheory |