ARRL Antenna Book, 19th Edition, Page 26-4:
"With the parallel-conductor line the system is symmetrical, but with coaxial line it is inherently unbalanced.
Stated broadly, the unbalance with coaxial line is caused by the fact that the outside surface of the outer braid is not coupled to the antenna in the same way as the inner conductor and the inner surface of the outer braid. The overall result is that current will flow on the outside of the outer conductor in the simple arrangement shown... The unbalance is small if the line diameter is very small compared with the length of the antenna, a condition that is met fairly well at the lower amateur frequencies. It is not negligible in the VHF and UHF range, however, nor should it be ignored at 28 MHz. The system must be detuned for currents on the outside of the line."
Page 26-16:
"There are two common conditions that will cause an imbalance of transmission-line currents. Both are related to the symmetry of the system. The first condition involves the lack of symmetry when an inherently unbalanced coaxial line feeds a balanced antenna (such as a dipole or a Yagi driven element) directly. The second condition involves asymmetrical routing of a transmission line near the antenna it is feeding.
UNBALANCED COAX FEEDING A BALANCED DIPOLE
Fig 24 shows a coaxial cable feeding a hypothetical balanced dipole fed in the center. The coax has been drawn highly enlarged to show all currents involved. In this drawing the feedline drops at right angles down from the feed point and the antenna is assumed to be perfectly symmetrical. Because of this symmetry, one side of the antenna induces current on the feed line that is completely canceled by the current induced from the other side of the the antenna.
Currents I1 and I2 from the transmitter flow on the inside of the coax. I1 flows on the outer surface of the coax's inner conductor and I2 flows on the inner surface of the shield. Skin effect keeps I1 and I2 inside the transmission line confined to where they are within the line. The field outside the coax is zero, since I1 and I2 have equal amplitudes but are 180 degrees out of phase with respect to each other.
The currents flowing on the antenna itself are labeled I1 and I4, and both flow in the same direction at any instant in time for a resonant half-wave dipole. On Arm 1 of the dipole, I1 is shown going directly into the center conductor of the feed coax. However, the situation is different for the other side of this dipole. Once current I2 reaches the end of the coax, it splits into two components. One is I4, going directly into Arm 2 of the dipole. The other is I3 and this flows down the outer surface of the coax shield. Again, because of skin effect, I3 is separate and distinct from the current I2 on the inner surface. The antenna current in Arm 2 is this equal to the difference between I2 and I3.
The magnitude of I3 is proportional to the relative impedances in each current path beyond the split. The feedpoint impedance of the dipole by itself is somewhere between 40 to 75 Ohms, depending on the height above ground. The impedance seen looking into one half of the dipole is half, or 25 to 37.5 Ohms. The impenance seen looking down the outside surface of the coax's outer shield to ground is called the common-mode impedance, and I3 is aptly called the common-mode current. (The term common mode is more readily appreciated if parallel-conductor line is substituted for the coax cable used in the illustration. Current induced by radiation onto both conductors of a two-wire line is a common-mode current, since it flows in the same direction on both conductors, rather than in opposite directions as it does for transmission-line current. The outer braid for a coaxial cable shields the inner conductor from such an induced current, but the unwanted current on the outside braid is still called common-mode current.)
The common-mode impedance will vary with the length of the coaxial feed line, its diameter and the path length from the transmitter chassis to whatever is actually "RF ground." Note that the path from the transmitter chassis to ground may go through the station's grounding bus, the transmitter power cord, the house wiring and even the power-line service ground. In other words, the overall length of the ground can actually be quite a bit different from what you might expect by casual inspection.
The worst-case common-mode impedance occurs when the overall effective path length to ground is a multiple of 1/2 wave, making this path half-wave resonant. In effect, the line and ground-wire system acts like a sort of transmission line, transforming the short circuit to ground at its end to a low impedance at the dipole's feed point. This causes I3 to be a significant part of I2.
I3 not only causes an imbalance in the amount of current flowing in each arm of the otherwise symmetrical dipole, but it also radiates by itself. The radiation in Fig 24 due to I3 would be mainly vertically polarized, since the coax is drawn as being mainly vertical. However the polarization is a mixture of horizontal and vertical, depending on the orientation of the ground wiring from the transmitter chassis to the rest of the station's grounding system."
Page 26-20
"ELIMINATING COMMON-MODE CURRENTS-THE BALUN
In the preceding sections, the problems of directional pattern distortion and unpredictable SWR readings were traced to common-mode currents on transmission lines. Such common-mode currents arise from several types of asymmetry in the antenna-feed line system - either a mismatch between unbalanced feed line and a balanced antenna, or lack of symmetry in placement of the feedline. A device called a balun can be used to eliminate these common-mode currents.
The word balun is a contraction for the words balanced to unbalanced. Its primary function is to prevent common-mode currents, while making the transition from an unbalanced transmission line to a balanced load such as an antenna. Baluns come in a variety of forms..."