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A temporarily freeSU 6 gauge field theory model for strong interactions

Модель временно свободногоSU 6 калибровочного поля для сильных взаимодействий

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Il Nuovo Cimento A (1965-1970)

Summary

An analysis of experimental facts in low- and high-energy hadron interactions and theoretical results in gauge field theory leads to the conclusion that theSU 6 totally spontaneously broken, temporary free gauge field model is a natural candidate for a description of strong hadron interactions. The model is based on the observed massive vector mesons and fermions. It is shown that the Higgs sector can be chosen in such a manner that—even after totalSU 6 symmetry breaking—there survives a global symmetrySU 2×U s1 ×U c1 ×U b1 ×U t1 which coincides with the observed isospin, strangeness, charm, beauty and top symmetry. The renormalization group analysis indicates that the model is temporarily free. It is shown that all vector mesons reggeize and their parent and daughter Regge trajectories are calculated in the leading-logarithm approximation. It is shown also that all fundamental fermions which can be taken either in vector or adjoint representation also reggeize. Due to temporary freedom the model possesses the scaling properties and enables a perturbative analysis of high-energy of processes. Since the model is based on observed hadrons the analysis of exclusive processes is considerably facilitated. It is shown, in particular, that the model predicts a new form of baryon-baryon and baryon-antibaryon high-energy total cross-section: it is noteworthy that the obtained cross sections are decreasing for moderately high energy and increasing for higher energies in a remarkable agreement with experimental data in the energy interval 10 GeV\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \sqrt s \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \)30 000 GeV.

Riassunto

Un'analisi degli eventi sperimentali nelle interazioni degli adroni ad alta e bassa energia e dei risultati teorici nella teoria del campo di gauge porta alla conclusione che il modello del campo di gaugeSU 6 totalmente, spontaneamente infranto temporaneamente libero, è un candidato naturale per una descrizione delle interazioni adroniche forti. Il modello si basa sui mesoni vettoriali dotati di massa e fermioni osservati. Si dimostra che il settore di Higgs può essere scelto in maniera tale che—anche dopo una totale rottura della simmetriaSU 6—rimane una simmetria globaleSU 2×U s1 ×U c1 ×U b1 ×U t1 che coincide con l'osservata simmetria di isospin, stranezza, charm, beauty e top. L'analisi del gruppo di rinormalizzazione indica che il modello è temporaneamente libero. Si dimostra che tutti i mesoni vettoriali reggeizzano e le loro traiettorie di Regge progenitrici e figlie si calcolano con l'approssimazione del logaritmo principale. Si dimostra anche che tutti i fermioni fondamentali sia in rappresentazione vettoriale che aggiunta, reggeizzano. A causa della libertà temporanea, il modello possiede le proprietà di scala e permette un'analisi perturbativa dei processi ad alta energia. Poiché il modello si basa su adroni osservati, l'analisi del processo esclusivo è notevolmente facilitata. Si dimostra, in particolare, che il modello prevede una nuova forma di sezione d'urto totale ad alta energia barione-barione e barione-antibarione: è degno di nota che le sezioni d'urto ottenute diminuiscono ad energie moderatamente alte e aumentano ad energie maggiori in notevole accordo con i dati sperimentali nell'intervallo di energia Gev\(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \sqrt s \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{< } \) 30 000 GeV.

Резюме

Анализ экспериментальных данных по взаимодействиям адронов с низкими и высокими энергиями и теоретические редультаты в калибровочной теории поля приводят к выводу, чтоSU 6 спонтанно нарушенная модель временно свободного калибровочного поля представляет естественный кандидат для описания сильных взаимодействий адронов. Эта модель основана на наблюдаемых массивных векторных мезонах и фермионах. Показывается, что сектор Хигтса может быть выбран таким образом, что после полного нарушенияSU 6 симметрии существует глобальная симметрияSU 2×U s1 ×U c1 ×U b1 ×U t1 , которая совпадает с наблюдаемой симметрией изоспина, странности, щарма, красоты (прелести) и верха (истины), Анализ группы перенормировки показывает, что предложенная модель временно свободная. Вычисляются траектории Редже в старшем логарифмическом приближении. Также показывается, что все фундаментальные фермионы, которые могут быть взяты либо в векторном, либо в сопряженном представлении, также реджеизованы. Вследствие временной свободы, предложенмая модель обладает свойствами

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  1. R. Rączka

    Present address: Institute for Nuclear Studies, Hoza 69, 00-681, Warsaw, Poland

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  1. International School for Advanced Studies (SISSA), Trieste, Italy

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Supported in part by the contract No. 7F-5S1D of the Institute of Theoretical Physics of the Polish Academy of Sciences.

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Rączka, R. A temporarily freeSU 6 gauge field theory model for strong interactions. Nuov Cim A 98, 297–336 (1987). https://doi.org/10.1007/BF02817967

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PACS. 12.90

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