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.. , - kvm@marsu.ru On the physical interpretation of parameters characterizing the i n t e r a c t i o n at large distances in the quantum theory of the gravitation 1. 2. 3. 5. 5. 6. ­ 7.
1


1. , . , , ( ) ( ). ( , , ). , ( , ).
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, , . 1930 . - , , . 1932 . - , , 1934 -, . 1937 . . . , , 50- . . . . , , .
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. . 1961 .. .. , , . , . 1964 . . , , , « », .

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2. , , . . , [1], , . , , . , .

5


, () , () . () , . , , , . , -, . .. ( ) [2].

6


, , , , (, - ). ­ () . , , ( ). ( ) , . , , .
7


. , «» ( , ) [3]. . , «» .

8


«» «» ( ) , , , . ( ) , , .

9


3. , ( ()), , . , , , . , GN 6,710 , ).
-39

-2 ( -

10


.. [4] , 80- , , [5]. , , [6] G N ~ 10
-1 -14
24

- 38

GeV

-2

( -

: h (2 ) = c = 1, h ­ , c ­ ; 1 GeV
2 10 ; 1 3,1 10
e

1038 GeV -1) -

( G N ~ e ,
3 m

-

). ,
Ho G
N

,











H o ~ 10

- 42

GeV ,

.

11


bosons First macroscopic body Second macroscopic body

12


m1 m2, R . , 2m1 l 2m2 l ( l, , S ), , . , , S(l) , . -, [7]
x n dx = = 0' T44 0' - 0 T44 0 = - R AB S n =1 2 R AB 0 2 R AB i (it ) / R AB - (- it ) / R AB dt = - = , 2 2 R AB S 0 exp(2 t ) - 1 24 R AB S

1

(1)

13


S - , l, , ( ) . , l = /(2) ( ). ,



o AB

= SR

AB

=-


24 R
AB

(2)

( A , B , , ) [7, ].

14


/S ( - ) , , ,
AB









:



AB

= - 24 SR

. ,

E
2 m1l 2 m 2 l A =1 B =1

E

AB

.

(3)

15


R (RAB = R), 2m1l 2m2l G mm E- =- 1 2, 24 SR R ( - , )

(4)

G =

l 2
6S

.

(5)

16


S = l2, :

G = / 6

(6)

. , , , . 2m1rw 2m2rw ,
2 S = = rw .

(7)

17


4.

, ( ) Z . [8] M =4 G
F

2

=

GF - 2

1 - + eL j eL + eR j eR = L L 2 1 + e j (I - 5 )e + e j (I + 5 )e j (I - 5 ) , 2

(

j

)

[

]

(8)

( ) M
2

1 = 64G - + 2
2 F

2

( p'k ')( p k )+ 2 ( p'k )( p k ') - - 1 + m 2 (k k ') , 2

(9)

18


j, j - ( j 1,2,3,4); e - ( e - ), , p - p' - 4- (m - ); - ( - ), , k - k' ­ 4-; GF - , 1,16610-5 -2. 1 2 1 2

= sin 2 W , 5 = -i 1 2 3 4 , L = (I - 5 ) , R = (I + 5 )

(10)

(I - , W - ). M
2

1 = 64G - + 2
2 F

2

( p'k )( p k ')+ (
2

1 p 'k ')( p k ) - - + m 2 (k k ') , 2

(11)

19


, , ( « m)
2 2 4GF 2 1 21 = - + + - - + . 2 2



Z e

(12)

u
2 2 2 4GF 2 1 2 2 1 2 2 = - + + - - + 2 3 3 2 3 3


d-

Z u

(13)



Z d

2 2 2 4GF 2 1 1 1 1 1 1 = - + + - - + . 2 3 3 2 3 3
20

(14)


, . ( ) ( ).

= k Z ,

(15)

k = ke 1/137, (ke 2/3), k = ku k = kd s, .
21


50 ( ~ 10 40 GeV -1), , «» - 3 ( < 10
-12

GeV ). -

, ( F ).

22


.. , , , , «» , ,



- F . , -



3d = 0 exp( / To ) + 1




2 d 3.15To . 0 exp( / To ) + 1

(16)

( To2 ).

23


G , , S l2. [8] k e = 2 - 25 4 (2 ), - , ( 3,15 T 5,16610
-13

(

)

, 0,23)

G 6 10

- 39



-2

,

(17)

GN.

24


, , - . , G . G . , W+, W-, Z , , , . , , [9] .

25


5.

( « » (< 10 .)). ­ 1 . ( .. « » , , 2010). « » . « », « » (50 .).

26


, , . «» . , XIX .

27


90- XIX [10]. ( : ?). , exp(- r ) . . :
-1

Ar
28

exp(- 1r ) + Br

-1

exp(- 2 r ).

(18)


, . , , , . , , , , , .. .

29


.. [11] 3- , :
r ds 2 = dr 2 + L2 sinh 2 d 2 + sin 2 d L

(

2

)

(19)

(L - ). : 2 = L sinh 2 2 2 r r L sinh L 1 2 1 1 + sin + . r sin sin 2 2

r L

(20)

30


, : C L r 2C 1 , 1 - coth = - 2r L L Le -1

U (r ) =

(21)

, . , , ( ). . , , .
31


[4] , , « ». , «» [12]. « », «» . , , , . ­ , .

32


(n - , x > 0 ):


V = - D ne
n=0

- nx

n=0 -x

e

- nx

d = D ln e dx n = 0
-x -x

- nx



=D

d1 ln dx 1 - e

e = -D 1- e

=-

D ex -1

(22)

(, D x),
D = 1 2 dV1dV2 ( 1 - ,

2 - , -
, , - ).


[12], : D = 4m1m2 2 .
33


6. ­

­ [13] , .
V (r ) = G N m1m2 2G m m r 1 - cth = - N 1 2 L L L e

1
2r / L

-1

(23)

( m1, m2 - ; r - ; L - ) () , (23), , , . ,
L

lim

[V (r )]

2G N m1m2 = lim - L L e
34

1
2r / L

G mm =- N 1 2 . r - 1

(24)


, -
U (r ) = - Ce
- Br

r

( B = 2 / L ),

(25)

( ). , L ( ).

35


, ( , , U (r ) ). ,
2 0

d sin d
0



0

GN r 2 2 1 - cth r dr = -G N L (3) (3 L L

)

(26)

((3) = 2, (3) 1,202), - . , , , .
36


, , ,
N

U (r ) = -

Ai
Bi r

i =1e

-1

(27)

, , Ai Bi , .

37


(22) ( V = - D e x - 1 )
x = 2 r ,

(

)

(28)

(23) ( V (r ) = -

2G N m1m2 L e

1
2r / L

-1

)

, , , L 1 ( ). (29)

, , . , ( G N , L) . , .
38


, - , , , . . , . , , (21) [14]. , (21) , , , . , L , .
39


, , ( , B 0 (25)), . . , () . , , .

40




1. Leibundgut B. and Sollerman J., A cosmological surprise: the universe accelerates // Europhysics news. ­ 2001. ­ V. 32. ­ P. 121-125. 2. .. . // , . , . - 1967. - .177. - 1. . 70. 3. Koryukin V.M. The confinement and the dark matter of the Universe // In the book: Relativistic Nuclear Physics and Quantum Chromodynamics: Proceedings of the XIX International Baldin Seminar on High Energy Physics Problems (Dubna, September 29 ­ October 4, 2008). ­ Dubna: JINR, 2008. ­ V. I. ­ XVI, 325 p. ­ P. 61-66. 4. .. . // . - 1981. - . 33, .1. - . 11 - 14. 5. Koryukin V.M. Gravitation and Weak Interactions in the Gauge Fields Covariant Theory // In the book: Proceedings of III International Symposium on Weak and Electromagnetic Interactions in Nuclei (JINR, Dubna, Moscow Region, RUSSIA, June 16 22, 1992). - Edited by Ts. D. Vylov. - Singapore, New Jersey, London, Hongkong: World Scientific, 1992. - P. 456-458. 6. .. , // . . - 1996. - 10. - . 119-120.
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7. .., .., .. . - .: "", 1980. - 296 . 8. .. . - .: "", 1981. - 304 . 9. .., .. . //. ­ 1985. ­ . 16. . 3. ­ . 469 - 521. 10. .. . . ­ .: , 1985. ­ 246 . 11. .. // .: V " ". , 16-18 1992. ­ : , , 1993. ­ . 250-253. 12. . . ­ .: , 1978. ­ 200 . 13. .. // .: IV " ". , 14-16 1991. ­ : , , 1992. ­ . 3 - 21. 14. .. // . . - 2012, . 55, 6. - . 81-85. (V.M. Koryukin, Russian Physics Journal. Volume 55, Issue 6 (2012), Page 685-689. )

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