- I'm a theoretical physicist. I work in the area of QCD, heavy quarks, multiloop Feynman diagrams.edit
The classical Lagrangian of chromodynamics, its quantization in the perturbation theory framework, and renormalization form the subject of these lectures. Symme-tries of the theory are discussed. The dependence of the coupling constant αs... more
The classical Lagrangian of chromodynamics, its quantization in the perturbation theory framework, and renormalization form the subject of these lectures. Symme-tries of the theory are discussed. The dependence of the coupling constant αs on the renormalization scale µ is considered in detail. 1
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The classical Lagrangian of chromodynamics, its quantization in the perturbation theory framework, and renormalization form the subject of these lectures. Symmetries of the theory are discussed. The dependence of the coupling constant... more
The classical Lagrangian of chromodynamics, its quantization in the perturbation theory framework, and renormalization form the subject of these lectures. Symmetries of the theory are discussed. The dependence of the coupling constant $\alpha_s$ on the renormalization scale $\mu$ is considered in detail.
ABSTRACT
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The Riemann ζ-function is defined by $$\displaystyle{\zeta _{s} =\sum _{n>0} \frac{1} {{n}^{s}}\,.}$$ Mathematica knows this function; it can be expressed via powers of \(\pi\) for even integer values of \(s\).
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First attempts to use computers for calculations not only with numbers but also with mathematical expressions (e.g., symbolic differentiation) were made in the 1950s. In the 1960s research in this direction became rather intensive. This... more
First attempts to use computers for calculations not only with numbers but also with mathematical expressions (e.g., symbolic differentiation) were made in the 1950s. In the 1960s research in this direction became rather intensive. This area was known under different names: symbolic calculations, analytic calculations, and computer algebra. Recently this last name is most widely used. Why algebra and not, say, calculus? The reason is that it is most useful to consider operations usually referred to calculus (such as differentiation) as algebraic operations in appropriate algebraic structures (differential fields).
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We analyze in detail the process of e/sup +/e/sup -/ annihilation into an isolated meson and two jets, which was previously suggested by V. N. Baier and A. G. Grozin (Phys. Lett. 96B, 181 (1980)). This process allows us to obtain a wealth... more
We analyze in detail the process of e/sup +/e/sup -/ annihilation into an isolated meson and two jets, which was previously suggested by V. N. Baier and A. G. Grozin (Phys. Lett. 96B, 181 (1980)). This process allows us to obtain a wealth of information on meson wave functions. We discuss quantitatively the possibility of carrying out the corresponding experiment.
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In this chapter, we discuss heavy--heavy quark currents. They have many interesting applications. Matrix elements of the vector and axial b ®</font >\to c currents describe exclusive semileptonic B decays, which provide one of the... more
In this chapter, we discuss heavy--heavy quark currents. They have many interesting applications. Matrix elements of the vector and axial b ®</font >\to c currents describe exclusive semileptonic B decays, which provide one of the ways to measure the CKM matrix element |</font >V\textc\textb|</font >|V_{\text{c}\text{b}}| . Matrix elements of the electromagnetic b- and c-currents describe \textB[`</font >(\textB)]\text{B}\bar{\text{B}} and \textD[`</font >(\textD)]\text{D}\bar{\text{D}} production in e+e- annihilation.
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The wave functions and evolution equations for mesons are classified completely taking into account two-gluon states and then are compared to the Altarelli-Parisi evolution equations. The form factors of completely neutral mesons and the... more
The wave functions and evolution equations for mesons are classified completely taking into account two-gluon states and then are compared to the Altarelli-Parisi evolution equations. The form factors of completely neutral mesons and the probabilities for exclusive decays of quarkonium states are found taking into account two-gluon states.
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Towards a next-to-next-to-leading order analysis of matching in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml
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We compute the perturbative corrections to the HQET sum rules for the matrix element of theB = 2 operator that determines the mass difference of B 0 , ¯ B 0 states. Technically, we obtain analytically the non-factorizable contributions at... more
We compute the perturbative corrections to the HQET sum rules for the matrix element of theB = 2 operator that determines the mass difference of B 0 , ¯ B 0 states. Technically, we obtain analytically the non-factorizable contributions at orders to the bag parame- ter that first appear at the three-loop level. Together with the known non-perturbative corrections due to vacuum condensates and 1/mb corrections, the full next-to-leading or- der result is now available. We present a numerical value for the renormalization group invariant bag parameter that is phenomenologically relevant and compare it with recent lattice determinations.
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Effect of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml
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The stability of the QCD sum rules is analysed for the light-quark systems with higher vacuum condensates incorporated in the consideration. The bounds resulting from the experimental data on e+e−→(hadrons)I=1 are obtained for the gluon... more
The stability of the QCD sum rules is analysed for the light-quark systems with higher vacuum condensates incorporated in the consideration. The bounds resulting from the experimental data on e+e−→(hadrons)I=1 are obtained for the gluon and quark condensates and parameter [Formula: see text].
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A compound expression consists of several expressions separated by the operator ;. They are calculated left to right. The value of a compound expression is the value of the last (rightmost) expression. The values of all the other... more
A compound expression consists of several expressions separated by the operator ;. They are calculated left to right. The value of a compound expression is the value of the last (rightmost) expression. The values of all the other expressions are thrown away; they are calculated only for side effects. The operator ; has a low priority, so that it is often necessary to put a compound expression inside brackets. The last expression may be empty. Its value (and hence the value of the compound expression) is the symbol Null which is not printed. Therefore, if you want to suppress printing of the result of some calculation (e.g., because it is lengthy), put ; after it.
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The usual simulation methods are inapplicable for a particle in a non-simply-connected space, because closed paths are divided into homotopy classes. The probability distribution over these classes is calculated analytically at low... more
The usual simulation methods are inapplicable for a particle in a non-simply-connected space, because closed paths are divided into homotopy classes. The probability distribution over these classes is calculated analytically at low temperatures. A simulation algorithm is proposed.
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AbstractThe cross section of isolated nucleon production with large transverse momentum in nucleonnucleon collisions is calculated. This process is due to the hard scatteringqq→B q. A general selection rule for helicity amplitudes of the... more
AbstractThe cross section of isolated nucleon production with large transverse momentum in nucleonnucleon collisions is calculated. This process is due to the hard scatteringqq→B q. A general selection rule for helicity amplitudes of the processes involving mesons and baryons is established. In particular it leads to the vanishing of the amplitudesq+q+ % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0de9Wq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyOKH4Qaam% OqamaaBaaaleaacqGHRaWkcaaIZaGaai4laiaaikdaaeqaaOGabmyC% ayaaraGaeyOeI0Iaai4oaGqaaiaa-bcaieGacaGFZoWaaSbaaSqaai% aa+TcaaeqaaOGaa8hiaiaa+n7adaWgaaWcbaGaa43kaaqabaGccqGH% sgIRcaWGnbWaaSbaaSqaaiabgUcaRiaaigdaaeqaaOGaamytamaaBa% aaleaacqGHsislcaaIXaaabeaakiaacYcacaWGcbWaaSbaaSqaaiab% gUcaRiaaiodacaGGVaGaaGOmaaqabaGcceWGcbGbaebadaWgaaWcba% GaeyOeI0IaaG4maiaac+cacaaIYaaabeaaaaa!544A! $$ \to B_{ + 3/2} \bar q - ; \gamma _ + \gamma _ + \to M_{ + 1} M_{ - 1} ,B_{ + 3/2} \bar B_{ - 3/2} $$ . The quantitative estimates using the nucleon wave function from [5] show that the selection of the events with isolated proton production is possible in ISR data.
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Research Interests: Mathematical Physics, Physics, Nuclear Physics, Quantum Physics, Particle Physics, and 12 moreQuantum Electrodynamics, Structures and Fire Engineering, Singularity, Ultraviolet, Phenomenology of Particle Physics, Renormalization, Heavy Quark Effective Field Theory, Infrared, Renormalization Group, Quark, Perturbation Theory, and Higher order
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Suppose we know eigenvalues and eigenstates of a Hamiltonian \(\hat{H}_{0}\) and want to find them for a Hamiltonian \(\hat{H} =\hat{ H}_{0} +\hat{ V }\) in the form of series in \(\hat{V }\) [18].