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Studium rezonancí v anomálním sektoru kvantové chromodynamiky
Kadavý, Tomáš ; Kampf, Karol (advisor) ; Trnka, Jaroslav (referee)
The independent operator basis of the most important resonances in the so-called odd-intrinsic parity sector was formulated in [1]. Using these ope- rators we can construct Lagrangians of corresponding Feynman diagrams, that allow us to describe and understand several interaction processes. In the mentioned article were studied Green functions for V V P and V AS correlators including their phenomenological aspects. This thesis should establish the Feynman rules for not so much known Green functions corresponding to AAP , V V A and AAA correlators. Because not enough theoretical or experimental attention has been paid to these correlators, we will not be able to perform phenomenological study. But we can return to this point in the future during master degree studies. Reference [1] K. Kampf and J. Novotny, Phys. Rev. D 84 (2011) 014036 [ar- Xiv:1104.3137 [hep-ph]]. 1
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Green functions of currents in the odd-intrinsic parity sector of QCD
Kadavý, Tomáš ; Kampf, Karol (advisor) ; Trnka, Jaroslav (referee)
Green functions of currents allow us to study resonances in the low- energy limit of QCD. Using them, we can construct amplitudes or decay widths of processes. By a comparison of the theoretical predictions with experimental measurements we can determine the values of parameters of the theory and obtain a more comprehensive understanding about the be- haviour of QCD processes. In our investigated topic, an odd-parity sector of QCD, exist five nontriv- ial three-point Green functions, also referred to as correlators. Correlators V V P and V AS have already been studied in [1], whilst a calculation of AAP was provided in [2]. In this thesis we therefore deal with the Green functions V V A and AAA that have not yet been studied before. We present a complete calculation of the contributing Feynman diagrams in the anti- symmetric tensor formalism that satisfies high-energy behaviour within the OPE framework, as was shown also in [2]. The obtained results are submit- ted to phenomenological studies. Further, we also present an introduction to our calculations of the four- point Green functions V V PP and V V V V . The calculations were carried out both in the antisymmetric tensor and vector formalism but due to the complicated tensor structure of the results, the calculations can not be shown here in their...
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Green functions of currents in the odd-intrinsic parity sector of QCD
Kadavý, Tomáš ; Kampf, Karol (advisor) ; Trnka, Jaroslav (referee)
Green functions of currents allow us to study resonances in the low- energy limit of QCD. Using them, we can construct amplitudes or decay widths of processes. By a comparison of the theoretical predictions with experimental measurements we can determine the values of parameters of the theory and obtain a more comprehensive understanding about the be- haviour of QCD processes. In our investigated topic, an odd-parity sector of QCD, exist five nontriv- ial three-point Green functions, also referred to as correlators. Correlators V V P and V AS have already been studied in [1], whilst a calculation of AAP was provided in [2]. In this thesis we therefore deal with the Green functions V V A and AAA that have not yet been studied before. We present a complete calculation of the contributing Feynman diagrams in the anti- symmetric tensor formalism that satisfies high-energy behaviour within the OPE framework, as was shown also in [2]. The obtained results are submit- ted to phenomenological studies. Further, we also present an introduction to our calculations of the four- point Green functions V V PP and V V V V . The calculations were carried out both in the antisymmetric tensor and vector formalism but due to the complicated tensor structure of the results, the calculations can not be shown here in their...
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Studium rezonancí v anomálním sektoru kvantové chromodynamiky
Kadavý, Tomáš ; Kampf, Karol (advisor) ; Trnka, Jaroslav (referee)
The independent operator basis of the most important resonances in the so-called odd-intrinsic parity sector was formulated in [1]. Using these ope- rators we can construct Lagrangians of corresponding Feynman diagrams, that allow us to describe and understand several interaction processes. In the mentioned article were studied Green functions for V V P and V AS correlators including their phenomenological aspects. This thesis should establish the Feynman rules for not so much known Green functions corresponding to AAP , V V A and AAA correlators. Because not enough theoretical or experimental attention has been paid to these correlators, we will not be able to perform phenomenological study. But we can return to this point in the future during master degree studies. Reference [1] K. Kampf and J. Novotny, Phys. Rev. D 84 (2011) 014036 [ar- Xiv:1104.3137 [hep-ph]]. 1
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