Quantum fluctuation and dissipation in holographic theories: A unifying study scheme
Abstract Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of massive particles due to quantum and thermal fluctuat...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)110 |
| _version_ | 1819148810716184576 |
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| author | Dimitrios Giataganas Da-Shin Lee Chen-Pin Yeh |
| author_facet | Dimitrios Giataganas Da-Shin Lee Chen-Pin Yeh |
| author_sort | Dimitrios Giataganas |
| collection | DOAJ |
| description | Abstract Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of massive particles due to quantum and thermal fluctuations in a wide class of strongly coupled quantum field theories. The underlying reason for the existence of such unified study scheme, is that our analytic methods turn out to heavily depend on the order of the Bessel functions ν, describing the string fluctuations attached to the particle. Different values of the order are associated to different theories. The two-point function of the fluctuations exhibits two different late time behaviors, depending purely on the value of the order of Bessel functions. We then find that the coefficients and observables associated with the stochastic motion at zero and finite temperature, depend on the scales of the theory through powers of the order ν. Moreover, the fluctuation-dissipation theorem is verified from the bulk perspective to be universally satisfied for the whole class of theories. Finally, we show that the analysis of certain types of Dp-brane fluctuations can be mapped one-to-one to the string fluctuations and therefore the stochastic brane observables can be read from the string ones. In the closing remarks we demonstrate how our analysis accommodates known results as special cases and provide more applications. |
| first_indexed | 2024-12-22T13:51:38Z |
| format | Article |
| id | doaj.art-3ec474d3c1e843f995f313313fccf60c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T13:51:38Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3ec474d3c1e843f995f313313fccf60c2022-12-21T18:23:39ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018813710.1007/JHEP08(2018)110Quantum fluctuation and dissipation in holographic theories: A unifying study schemeDimitrios Giataganas0Da-Shin Lee1Chen-Pin Yeh2Physics Division, National Center for Theoretical Sciences, National Tsing-Hua UniversityDepartment of Physics, National Dong-Hwa UniversityDepartment of Physics, National Dong-Hwa UniversityAbstract Motivated by the wide range of applicability of the fluctuation and dissipation phenomena in non-equilibrium systems, we provide a universal study scheme for the dissipation of the energy and the corresponding Brownian motion analysis of massive particles due to quantum and thermal fluctuations in a wide class of strongly coupled quantum field theories. The underlying reason for the existence of such unified study scheme, is that our analytic methods turn out to heavily depend on the order of the Bessel functions ν, describing the string fluctuations attached to the particle. Different values of the order are associated to different theories. The two-point function of the fluctuations exhibits two different late time behaviors, depending purely on the value of the order of Bessel functions. We then find that the coefficients and observables associated with the stochastic motion at zero and finite temperature, depend on the scales of the theory through powers of the order ν. Moreover, the fluctuation-dissipation theorem is verified from the bulk perspective to be universally satisfied for the whole class of theories. Finally, we show that the analysis of certain types of Dp-brane fluctuations can be mapped one-to-one to the string fluctuations and therefore the stochastic brane observables can be read from the string ones. In the closing remarks we demonstrate how our analysis accommodates known results as special cases and provide more applications.http://link.springer.com/article/10.1007/JHEP08(2018)110AdS-CFT CorrespondenceD-branesGauge-gravity correspondenceHolography and quark-gluon plasmas |
| spellingShingle | Dimitrios Giataganas Da-Shin Lee Chen-Pin Yeh Quantum fluctuation and dissipation in holographic theories: A unifying study scheme Journal of High Energy Physics AdS-CFT Correspondence D-branes Gauge-gravity correspondence Holography and quark-gluon plasmas |
| title | Quantum fluctuation and dissipation in holographic theories: A unifying study scheme |
| title_full | Quantum fluctuation and dissipation in holographic theories: A unifying study scheme |
| title_fullStr | Quantum fluctuation and dissipation in holographic theories: A unifying study scheme |
| title_full_unstemmed | Quantum fluctuation and dissipation in holographic theories: A unifying study scheme |
| title_short | Quantum fluctuation and dissipation in holographic theories: A unifying study scheme |
| title_sort | quantum fluctuation and dissipation in holographic theories a unifying study scheme |
| topic | AdS-CFT Correspondence D-branes Gauge-gravity correspondence Holography and quark-gluon plasmas |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)110 |
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